101872407 has 32 divisors (see below), whose sum is σ = 168942592. Its totient is φ = 53167104.

The previous prime is 101872391. The next prime is 101872427. The reversal of 101872407 is 704278101.

It is not a de Polignac number, because 101872407 - 2⁴ = 101872391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101872427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24558 + ... + 28404.

It is an arithmetic number, because the mean of its divisors is an integer number (5279456).

Almost surely, 2^101872407 is an apocalyptic number.

101872407 is a deficient number, since it is larger than the sum of its proper divisors (67070185).

101872407 is a wasteful number, since it uses less digits than its factorization.

101872407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 101872407 is about 10093.1861669148. The cubic root of 101872407 is about 467.0379691780.

The spelling of 101872407 in words is "one hundred one million, eight hundred seventy-two thousand, four hundred seven".