101476872 has 96 divisors (see below), whose sum is σ = 330657600. Its totient is φ = 27464832.

The previous prime is 101476849. The next prime is 101476877. The reversal of 101476872 is 278674101.

101476872 is a `hidden beast` number, since 101 + 476 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101476877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4278 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (3444350).

Almost surely, 2^101476872 is an apocalyptic number.

101476872 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 101476872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165328800).

101476872 is an abundant number, since it is smaller than the sum of its proper divisors (229180728).

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

101476872 is a wasteful number, since it uses less digits than its factorization.

101476872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 101476872 is about 10073.5729510437. The cubic root of 101476872 is about 466.4327367238.

The spelling of 101476872 in words is "one hundred one million, four hundred seventy-six thousand, eight hundred seventy-two".