107077357742672 has 80 divisors (see below), whose sum is σ = 210797114668800. Its totient is φ = 52685132797440.

The previous prime is 107077357742647. The next prime is 107077357742681. The reversal of 107077357742672 is 276247753770701.

It is a super-2 number, since 2×107077357742672² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107077357742599 and 107077357742608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596537897 + ... + 596717367.

It is an arithmetic number, because the mean of its divisors is an integer number (2634963933360).

Almost surely, 2^{107077357742672} is an apocalyptic number.

It is an amenable number.

107077357742672 is a deficient number, since it is larger than the sum of its proper divisors (103719756926128).

107077357742672 is a wasteful number, since it uses less digits than its factorization.

107077357742672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181924 (or 181918 counting only the distinct ones).

The product of its (nonzero) digits is 169414560, while the sum is 65.

The spelling of 107077357742672 in words is "one hundred seven trillion, seventy-seven billion, three hundred fifty-seven million, seven hundred forty-two thousand, six hundred seventy-two".