101659680 has 144 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 26903040.

The previous prime is 101659667. The next prime is 101659729. The reversal of 101659680 is 86956101.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 326725 + ... + 327035.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 2^101659680 is an apocalyptic number.

101659680 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 101659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

101659680 is an abundant number, since it is smaller than the sum of its proper divisors (247902624).

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

101659680 is a wasteful number, since it uses less digits than its factorization.

101659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 101659680 is about 10082.6425107707. The cubic root of 101659680 is about 466.7126575989.

The spelling of 101659680 in words is "one hundred one million, six hundred fifty-nine thousand, six hundred eighty".