107055936 has 252 divisors, whose sum is σ = 362381292. Its totient is φ = 29933568.

The previous prime is 107055917. The next prime is 107055943. The reversal of 107055936 is 639550701.

It is a happy number.

107055936 is a `hidden beast` number, since 1 + 0 + 70 + 559 + 36 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57600 + 106998336 = 240^2 + 10344^2 .

It is a super-2 number, since 2×107055936² = 22921946865672192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107055936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3691570 + ... + 3691598.

It is an arithmetic number, because the mean of its divisors is an integer number (1438021).

Almost surely, 2^107055936 is an apocalyptic number.

107055936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181190646).

107055936 is an abundant number, since it is smaller than the sum of its proper divisors (255325356).

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

107055936 is a wasteful number, since it uses less digits than its factorization.

107055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 107055936 is about 10346.7838481337. The cubic root of 107055936 is about 474.8286525091.

It can be divided in two parts, 10705 and 5936, that added together give a square (16641 = 129²).

The spelling of 107055936 in words is "one hundred seven million, fifty-five thousand, nine hundred thirty-six".