101680100 has 36 divisors (see below), whose sum is σ = 221579568. Its totient is φ = 40500000.

The previous prime is 101680087. The next prime is 101680127. The reversal of 101680100 is 1086101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23075 + ... + 27125.

It is an arithmetic number, because the mean of its divisors is an integer number (6154988).

Almost surely, 2^101680100 is an apocalyptic number.

101680100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101680100 is an abundant number, since it is smaller than the sum of its proper divisors (119899468).

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

101680100 is a wasteful number, since it uses less digits than its factorization.

101680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101680100 is about 10083.6550912851. The cubic root of 101680100 is about 466.7439044493.

The spelling of 101680100 in words is "one hundred one million, six hundred eighty thousand, one hundred".