10506516600 has 96 divisors (see below), whose sum is σ = 32585771520. Its totient is φ = 2800398720.

The previous prime is 10506516563. The next prime is 10506516619. The reversal of 10506516600 is 661560501.

10506516600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10506516600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474079 + ... + 2478321.

It is an arithmetic number, because the mean of its divisors is an integer number (339435120).

Almost surely, 2^10506516600 is an apocalyptic number.

10506516600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506516600 is an abundant number, since it is smaller than the sum of its proper divisors (22079254920).

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

10506516600 is a wasteful number, since it uses less digits than its factorization.

10506516600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10506516600 in words is "ten billion, five hundred six million, five hundred sixteen thousand, six hundred".