107145756 has 36 divisors (see below), whose sum is σ = 271265904. Its totient is φ = 35659200.

The previous prime is 107145743. The next prime is 107145757. The reversal of 107145756 is 657541701.

107145756 is a `hidden beast` number, since 10 + 71 + 4 + 575 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×107145756² = 22960426057623072, 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 107145756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107145757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25441 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (7535164).

Almost surely, 2^107145756 is an apocalyptic number.

It is an amenable number.

107145756 is an abundant number, since it is smaller than the sum of its proper divisors (164120148).

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

107145756 is a wasteful number, since it uses less digits than its factorization.

107145756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 107145756 is about 10351.1234172915. The cubic root of 107145756 is about 474.9614092379.

The spelling of 107145756 in words is "one hundred seven million, one hundred forty-five thousand, seven hundred fifty-six".