101993210 has 32 divisors (see below), whose sum is σ = 200696832. Its totient is φ = 37010880.

The previous prime is 101993209. The next prime is 101993231. The reversal of 101993210 is 12399101.

It is a super-2 number, since 2×101993210² = 20805229772208200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101993210.

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 15 ways as a sum of consecutive naturals, for example, 93287 + ... + 94373.

It is an arithmetic number, because the mean of its divisors is an integer number (6271776).

Almost surely, 2^101993210 is an apocalyptic number.

101993210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101993210 is a deficient number, since it is larger than the sum of its proper divisors (98703622).

101993210 is a wasteful number, since it uses less digits than its factorization.

101993210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958.

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 101993210 is about 10099.1687776767. The cubic root of 101993210 is about 467.2225049218. Note that the first 3 decimals are identical.

The spelling of 101993210 in words is "one hundred one million, nine hundred ninety-three thousand, two hundred ten".