101638956 has 48 divisors (see below), whose sum is σ = 245762048. Its totient is φ = 32659200.

The previous prime is 101638949. The next prime is 101638967. The reversal of 101638956 is 659836101.

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 15 ways as a sum of consecutive naturals, for example, 160761 + ... + 161391.

Almost surely, 2^101638956 is an apocalyptic number.

It is an amenable number.

101638956 is an abundant number, since it is smaller than the sum of its proper divisors (144123092).

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

101638956 is a wasteful number, since it uses less digits than its factorization.

101638956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 101638956 is about 10081.6147516159. The cubic root of 101638956 is about 466.6809412867.

The spelling of 101638956 in words is "one hundred one million, six hundred thirty-eight thousand, nine hundred fifty-six".