101536640160 has 96 divisors (see below), whose sum is σ = 319930394112. Its totient is φ = 27068820480.

The previous prime is 101536640141. The next prime is 101536640237. The reversal of 101536640160 is 61046635101.

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

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, 1794705 + ... + 1850415.

It is an arithmetic number, because the mean of its divisors is an integer number (3332608272).

Almost surely, 2^101536640160 is an apocalyptic number.

101536640160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101536640160 is an abundant number, since it is smaller than the sum of its proper divisors (218393753952).

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

101536640160 is a wasteful number, since it uses less digits than its factorization.

101536640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59526 (or 59518 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 101536640160 in words is "one hundred one billion, five hundred thirty-six million, six hundred forty thousand, one hundred sixty".