101676960 has 432 divisors, whose sum is σ = 443675232. Its totient is φ = 20966400.

The previous prime is 101676959. The next prime is 101676977. The reversal of 101676960 is 69676101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 776095 + ... + 776225.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^101676960 is an apocalyptic number.

101676960 is a gapful number since it is divisible by the number (10) 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 101676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616).

101676960 is an abundant number, since it is smaller than the sum of its proper divisors (341998272).

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

101676960 is a wasteful number, since it uses less digits than its factorization.

101676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101676960 is about 10083.4993925720. The cubic root of 101676960 is about 466.7390998679.

The spelling of 101676960 in words is "one hundred one million, six hundred seventy-six thousand, nine hundred sixty".