101556265632 has 96 divisors (see below), whose sum is σ = 274393691712. Its totient is φ = 32864569344.

The previous prime is 101556265589. The next prime is 101556265651. The reversal of 101556265632 is 236562655101.

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

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 15 ways as a sum of consecutive naturals, for example, 1591983 + ... + 1654545.

It is an arithmetic number, because the mean of its divisors is an integer number (2858267622).

Almost surely, 2^101556265632 is an apocalyptic number.

101556265632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101556265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137196845856).

101556265632 is an abundant number, since it is smaller than the sum of its proper divisors (172837426080).

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

101556265632 is a wasteful number, since it uses less digits than its factorization.

101556265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63070 (or 63062 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 101556265632 in words is "one hundred one billion, five hundred fifty-six million, two hundred sixty-five thousand, six hundred thirty-two".