10500106010610 has 16 divisors (see below), whose sum is σ = 25200254425536. Its totient is φ = 2800028269488.

The previous prime is 10500106010609. The next prime is 10500106010687. The reversal of 10500106010610 is 1601060100501.

It is a super-2 number, since 2×10500106010610² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175001766814 + ... + 175001766873.

It is an arithmetic number, because the mean of its divisors is an integer number (1575015901596).

Almost surely, 2^{10500106010610} is an apocalyptic number.

10500106010610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500106010610 is an abundant number, since it is smaller than the sum of its proper divisors (14700148414926).

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

10500106010610 is a wasteful number, since it uses less digits than its factorization.

10500106010610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350003533697.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10500106010610 in words is "ten trillion, five hundred billion, one hundred six million, ten thousand, six hundred ten".