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106721352 = 23326722123
BaseRepresentation
bin1100101110001…
…11000001001000
321102211000011200
412113013001020
5204310040402
614331224200
72434054653
oct627070110
9242730150
10106721352
1155272371
122b8a8060
1319157c3a
141026089a
15958121c
hex65c7048

106721352 has 48 divisors (see below), whose sum is σ = 293364240. Its totient is φ = 35041248.

The previous prime is 106721327. The next prime is 106721369. The reversal of 106721352 is 253127601.

It is a happy number.

It is a super-2 number, since 2×1067213522 = 22778893945415808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6238 + ... + 15885.

It is an arithmetic number, because the mean of its divisors is an integer number (6111755).

Almost surely, 2106721352 is an apocalyptic number.

106721352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106721352 is an abundant number, since it is smaller than the sum of its proper divisors (186642888).

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

106721352 is a wasteful number, since it uses less digits than its factorization.

106721352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106721352 is about 10330.6026929700. The cubic root of 106721352 is about 474.3334725426. Note that the first 3 decimals are identical.

Adding to 106721352 its reverse (253127601), we get a palindrome (359848953).

The spelling of 106721352 in words is "one hundred six million, seven hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 22123 44246 66369 88492 132738 176984 199107 265476 398214 530952 796428 1482241 1592856 2964482 4446723 5928964 8893446 11857928 13340169 17786892 26680338 35573784 53360676 106721352