107053124688 has 80 divisors (see below), whose sum is σ = 307325121600. Its totient is φ = 35679381120.

The previous prime is 107053124657. The next prime is 107053124747. The reversal of 107053124688 is 886421350701.

107053124688 is a `hidden beast` number, since 1 + 0 + 70 + 531 + 2 + 46 + 8 + 8 = 666.

It is a super-2 number, since 2×107053124688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4337503 + ... + 4362113.

It is an arithmetic number, because the mean of its divisors is an integer number (3841564020).

Almost surely, 2^107053124688 is an apocalyptic number.

107053124688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107053124688 is an abundant number, since it is smaller than the sum of its proper divisors (200271996912).

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

107053124688 is a wasteful number, since it uses less digits than its factorization.

107053124688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34697 (or 34685 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 107053124688 in words is "one hundred seven billion, fifty-three million, one hundred twenty-four thousand, six hundred eighty-eight".