107042908752 has 100 divisors (see below), whose sum is σ = 333645073300. Its totient is φ = 32936274432.

The previous prime is 107042908733. The next prime is 107042908787. The reversal of 107042908752 is 257809240701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67352706576 + 39690202176 = 259524^2 + 199224^2 .

It is a super-2 number, since 2×107042908752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107042908698 and 107042908707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3159877 + ... + 3193572.

It is an arithmetic number, because the mean of its divisors is an integer number (3336450733).

Almost surely, 2^107042908752 is an apocalyptic number.

107042908752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107042908752 is an abundant number, since it is smaller than the sum of its proper divisors (226602164548).

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

107042908752 is a wasteful number, since it uses less digits than its factorization.

107042908752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353482 (or 6353467 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 107042908752 in words is "one hundred seven billion, forty-two million, nine hundred eight thousand, seven hundred fifty-two".