105540103560 has 64 divisors (see below), whose sum is σ = 316702756800. Its totient is φ = 28136699136.

The previous prime is 105540103553. The next prime is 105540103583. The reversal of 105540103560 is 65301045501.

105540103560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105540103560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356286 + ... + 581394.

It is an arithmetic number, because the mean of its divisors is an integer number (4948480575).

Almost surely, 2^105540103560 is an apocalyptic number.

105540103560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105540103560 is an abundant number, since it is smaller than the sum of its proper divisors (211162653240).

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

105540103560 is a wasteful number, since it uses less digits than its factorization.

105540103560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229030 (or 229026 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 105540103560 in words is "one hundred five billion, five hundred forty million, one hundred three thousand, five hundred sixty".