103413436560 has 160 divisors (see below), whose sum is σ = 407087873280. Its totient is φ = 23637353472.

The previous prime is 103413436547. The next prime is 103413436561. The reversal of 103413436560 is 65634314301.

103413436560 is a `hidden beast` number, since 1 + 0 + 34 + 1 + 34 + 36 + 560 = 666.

It is a super-2 number, since 2×103413436560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103413436561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3404637 + ... + 3434876.

It is an arithmetic number, because the mean of its divisors is an integer number (2544299208).

Almost surely, 2^103413436560 is an apocalyptic number.

103413436560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103413436560 is an abundant number, since it is smaller than the sum of its proper divisors (303674436720).

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

103413436560 is a wasteful number, since it uses less digits than its factorization.

103413436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839542 (or 6839530 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 103413436560 in words is "one hundred three billion, four hundred thirteen million, four hundred thirty-six thousand, five hundred sixty".