101689100 has 18 divisors (see below), whose sum is σ = 220665564. Its totient is φ = 40675600.

The previous prime is 101689099. The next prime is 101689117. The reversal of 101689100 is 1986101.

It is a self number, because there is not a number n which added to its sum of digits gives 101689100.

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 5 ways as a sum of consecutive naturals, for example, 508346 + ... + 508545.

It is an arithmetic number, because the mean of its divisors is an integer number (12259198).

Almost surely, 2^101689100 is an apocalyptic number.

101689100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101689100 is an abundant number, since it is smaller than the sum of its proper divisors (118976464).

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

101689100 is a wasteful number, since it uses less digits than its factorization.

101689100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016905 (or 1016898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 101689100 is about 10084.1013481619. The cubic root of 101689100 is about 466.7576749944.

The spelling of 101689100 in words is "one hundred one million, six hundred eighty-nine thousand, one hundred".