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106397306596 = 227223210132
BaseRepresentation
bin110001100010111000…
…1100000111011100100
3101011122000022012010001
41203011301200323210
53220400202302341
6120513411311044
710454424120100
oct1430561407344
9334560265101
10106397306596
1141139562249
12187542ab484
13a057cb5b69
145214932900
152b7aba2d31
hex18c5c60ee4

106397306596 has 81 divisors (see below), whose sum is σ = 226644847401. Its totient is φ = 43573230624.

The previous prime is 106397306591. The next prime is 106397306599. The reversal of 106397306596 is 695603793601.

The square root of 106397306596 is 326186.

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

It can be written as a sum of positive squares in only one way, i.e., 209960100 + 106187346496 = 14490^2 + 325864^2 .

It is a super-2 number, since 2×1063973065962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106397306591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105031386 + ... + 105032398.

Almost surely, 2106397306596 is an apocalyptic number.

106397306596 is the 326186-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106397306596

106397306596 is an abundant number, since it is smaller than the sum of its proper divisors (120247540805).

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

106397306596 is an equidigital number, since it uses as much as digits as its factorization.

106397306596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 55.

The spelling of 106397306596 in words is "one hundred six billion, three hundred ninety-seven million, three hundred six thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1013 1058 1127 2026 2116 2254 3703 4052 4508 7091 7406 14182 14812 23299 25921 28364 46598 49637 51842 93196 99274 103684 163093 198548 326186 535877 652372 1026169 1071754 1141651 2052338 2143508 2283302 3751139 4104676 4566604 7183183 7502278 14366366 15004556 23601887 26257973 28732732 47203774 50282281 52515946 94407548 100564562 105031892 165213209 201129124 330426418 542843401 660852836 1085686802 1156492463 2171373604 2312984926 3799903807 4625969852 7599807614 15199615228 26599326649 53198653298 106397306596