10105514400 has 72 divisors (see below), whose sum is σ = 32893457184. Its totient is φ = 2694803200.

The previous prime is 10105514389. The next prime is 10105514413. The reversal of 10105514400 is 441550101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2102916 + ... + 2107715.

It is an arithmetic number, because the mean of its divisors is an integer number (456853572).

Almost surely, 2^10105514400 is an apocalyptic number.

10105514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105514400 is an abundant number, since it is smaller than the sum of its proper divisors (22787942784).

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

10105514400 is a wasteful number, since it uses less digits than its factorization.

10105514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210654 (or 4210641 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10105514400 in words is "ten billion, one hundred five million, five hundred fourteen thousand, four hundred".