101071680 has 112 divisors (see below), whose sum is σ = 323819520. Its totient is φ = 26707968.

The previous prime is 101071657. The next prime is 101071703. The reversal of 101071680 is 86170101.

It is an interprime number because it is at equal distance from previous prime (101071657) and next prime (101071703).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101071680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121506 + ... + 122334.

Almost surely, 2^101071680 is an apocalyptic number.

101071680 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 101071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909760).

101071680 is an abundant number, since it is smaller than the sum of its proper divisors (222747840).

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

101071680 is a wasteful number, since it uses less digits than its factorization.

101071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 101071680 is about 10053.4412018970. The cubic root of 101071680 is about 465.8110945107.

The spelling of 101071680 in words is "one hundred one million, seventy-one thousand, six hundred eighty".