105360054440 has 64 divisors (see below), whose sum is σ = 238110451200. Its totient is φ = 41957723392.

The previous prime is 105360054431. The next prime is 105360054463. The reversal of 105360054440 is 44450063501.

It is a super-2 number, since 2×105360054440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105360054397 and 105360054406.

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, 8481674 + ... + 8494086.

It is an arithmetic number, because the mean of its divisors is an integer number (3720475800).

Almost surely, 2^105360054440 is an apocalyptic number.

105360054440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105360054440 is an abundant number, since it is smaller than the sum of its proper divisors (132750396760).

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

105360054440 is a wasteful number, since it uses less digits than its factorization.

105360054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 105360054440 in words is "one hundred five billion, three hundred sixty million, fifty-four thousand, four hundred forty".