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106602250000 = 24566532
BaseRepresentation
bin110001101000111111…
…1010011111100010000
3101012011021221101121111
41203101333103330100
53221310134000000
6120550012103104
710462463113531
oct1432177237420
9335137841544
10106602250000
1141234211264
12187b0a64a94
13a08b5b124c
145233c40688
152b8db86cba
hex18d1fd3f10

106602250000 has 105 divisors (see below), whose sum is σ = 258569991043. Its totient is φ = 42575600000.

The previous prime is 106602249997. The next prime is 106602250031. The reversal of 106602250000 is 52206601.

The square root of 106602250000 is 326500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 61549640464 + 45052609536 = 248092^2 + 212256^2 .

It is a super-2 number, since 2×1066022500002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 163249674 + ... + 163250326.

Almost surely, 2106602250000 is an apocalyptic number.

106602250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106602250000 is the 326500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106602250000

106602250000 is an abundant number, since it is smaller than the sum of its proper divisors (151967741043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106602250000 is an frugal number, since it uses more digits than its factorization.

106602250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 106602250000 its reverse (52206601), we get a palindrome (106654456601).

The spelling of 106602250000 in words is "one hundred six billion, six hundred two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 653 1000 1250 1306 2000 2500 2612 3125 3265 5000 5224 6250 6530 10000 10448 12500 13060 15625 16325 25000 26120 31250 32650 50000 52240 62500 65300 81625 125000 130600 163250 250000 261200 326500 408125 426409 653000 816250 852818 1306000 1632500 1705636 2040625 2132045 3265000 3411272 4081250 4264090 6530000 6822544 8162500 8528180 10203125 10660225 16325000 17056360 20406250 21320450 32650000 34112720 40812500 42640900 53301125 81625000 85281800 106602250 163250000 170563600 213204500 266505625 426409000 533011250 852818000 1066022500 1332528125 2132045000 2665056250 4264090000 5330112500 6662640625 10660225000 13325281250 21320450000 26650562500 53301125000 106602250000