10500606000 has 120 divisors (see below), whose sum is σ = 36675179424. Its totient is φ = 2800156800.

The previous prime is 10500605953. The next prime is 10500606029. The reversal of 10500606000 is 60600501.

10500606000 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 60 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10500606000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273684 + ... + 309683.

Almost surely, 2^10500606000 is an apocalyptic number.

10500606000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500606000 is an abundant number, since it is smaller than the sum of its proper divisors (26174573424).

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

10500606000 is a wasteful number, since it uses less digits than its factorization.

10500606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583396 (or 583377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10500606000 in words is "ten billion, five hundred million, six hundred six thousand".