107743813356816 has 160 divisors (see below), whose sum is σ = 380633414846720. Its totient is φ = 28415950765056.

The previous prime is 107743813356799. The next prime is 107743813356847. The reversal of 107743813356816 is 618653318347701.

107743813356816 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 4 + 38 + 1 + 33 + 568 + 1 + 6 = 666.

It is a super-2 number, since 2×107743813356816² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370328685 + ... + 1370407308.

It is an arithmetic number, because the mean of its divisors is an integer number (2378958842792).

Almost surely, 2^{107743813356816} is an apocalyptic number.

107743813356816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107743813356816 is an abundant number, since it is smaller than the sum of its proper divisors (272889601489904).

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

107743813356816 is a wasteful number, since it uses less digits than its factorization.

107743813356816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740736030 (or 2740736018 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 107743813356816 in words is "one hundred seven trillion, seven hundred forty-three billion, eight hundred thirteen million, three hundred fifty-six thousand, eight hundred sixteen".