101632861 has 12 divisors (see below), whose sum is σ = 111983872. Its totient is φ = 92169000.

The previous prime is 101632831. The next prime is 101632871. The reversal of 101632861 is 168236101.

It is not a de Polignac number, because 101632861 - 2¹⁷ = 101501789 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101632831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68356 + ... + 69826.

Almost surely, 2^101632861 is an apocalyptic number.

101632861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101632861 is the 4509-th centered decagonal number.

It is an amenable number.

101632861 is a deficient number, since it is larger than the sum of its proper divisors (10351011).

101632861 is a wasteful number, since it uses less digits than its factorization.

101632861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 101632861 is about 10081.3124641586. The cubic root of 101632861 is about 466.6716125893.

Adding to 101632861 its reverse (168236101), we get a palindrome (269868962).

The spelling of 101632861 in words is "one hundred one million, six hundred thirty-two thousand, eight hundred sixty-one".