101074680 has 192 divisors, whose sum is σ = 395366400. Its totient is φ = 21876480.

The previous prime is 101074669. The next prime is 101074681. The reversal of 101074680 is 86470101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101074681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46825 + ... + 48935.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 2^101074680 is an apocalyptic number.

101074680 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 101074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).

101074680 is an abundant number, since it is smaller than the sum of its proper divisors (294291720).

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

101074680 is a wasteful number, since it uses less digits than its factorization.

101074680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101074680 is about 10053.5904034330. The cubic root of 101074680 is about 465.8157031853.

The spelling of 101074680 in words is "one hundred one million, seventy-four thousand, six hundred eighty".