103407757362816 has 64 divisors (see below), whose sum is σ = 274679651862720. Its totient is φ = 34468901537792.

The previous prime is 103407757362683. The next prime is 103407757362817. The reversal of 103407757362816 is 618263757704301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 103407757362816.

It is not an unprimeable number, because it can be changed into a prime (103407757362817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37857076 + ... + 40496588.

It is an arithmetic number, because the mean of its divisors is an integer number (4291869560355).

Almost surely, 2^{103407757362816} is an apocalyptic number.

103407757362816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103407757362816 is an abundant number, since it is smaller than the sum of its proper divisors (171271894499904).

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

103407757362816 is a wasteful number, since it uses less digits than its factorization.

103407757362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741553 (or 2741541 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 103407757362816 in words is "one hundred three trillion, four hundred seven billion, seven hundred fifty-seven million, three hundred sixty-two thousand, eight hundred sixteen".