10506516000 has 96 divisors (see below), whose sum is σ = 34419385728. Its totient is φ = 2801734400.

The previous prime is 10506515969. The next prime is 10506516019. The reversal of 10506516000 is 61560501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10506516000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 425772 + ... + 449771.

It is an arithmetic number, because the mean of its divisors is an integer number (358535268).

Almost surely, 2^10506516000 is an apocalyptic number.

10506516000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506516000 is an abundant number, since it is smaller than the sum of its proper divisors (23912869728).

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

10506516000 is an equidigital number, since it uses as much as digits as its factorization.

10506516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875571 (or 875553 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10506516000 in words is "ten billion, five hundred six million, five hundred sixteen thousand".