101680000 has 160 divisors (see below), whose sum is σ = 267664320. Its totient is φ = 38400000.

The previous prime is 101679997. The next prime is 101680087. The reversal of 101680000 is 86101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479980 + ... + 2480020.

It is an arithmetic number, because the mean of its divisors is an integer number (1672902).

Almost surely, 2^101680000 is an apocalyptic number.

101680000 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 101680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133832160).

101680000 is an abundant number, since it is smaller than the sum of its proper divisors (165984320).

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

101680000 is an frugal number, since it uses more digits than its factorization.

101680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101680000 is about 10083.6501327644. The cubic root of 101680000 is about 466.7437514386.

The spelling of 101680000 in words is "one hundred one million, six hundred eighty thousand".