107058985632 has 120 divisors (see below), whose sum is σ = 315312009012. Its totient is φ = 35634816000.

The previous prime is 107058985609. The next prime is 107058985667. The reversal of 107058985632 is 236589850701.

107058985632 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 589 + 8 + 56 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106403830416 + 655155216 = 326196^2 + 25596^2 .

It is a super-2 number, since 2×107058985632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1787532 + ... + 1846452.

Almost surely, 2^107058985632 is an apocalyptic number.

107058985632 is a gapful number since it is divisible by the number (12) 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 107058985632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157656004506).

107058985632 is an abundant number, since it is smaller than the sum of its proper divisors (208253023380).

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

107058985632 is an equidigital number, since it uses as much as digits as its factorization.

107058985632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59644 (or 59627 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 107058985632 in words is "one hundred seven billion, fifty-eight million, nine hundred eighty-five thousand, six hundred thirty-two".