101993600 has 48 divisors (see below), whose sum is σ = 251963970. Its totient is φ = 40796160.

The previous prime is 101993543. The next prime is 101993611. The reversal of 101993600 is 6399101.

It can be written as a sum of positive squares in 3 ways, for example, as 61340224 + 40653376 = 7832^2 + 6376^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12737 + ... + 19136.

Almost surely, 2^101993600 is an apocalyptic number.

101993600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101993600 is an abundant number, since it is smaller than the sum of its proper divisors (149970370).

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

101993600 is an equidigital number, since it uses as much as digits as its factorization.

101993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31897 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 101993600 is about 10099.1880861780. The cubic root of 101993600 is about 467.2231004403.

The spelling of 101993600 in words is "one hundred one million, nine hundred ninety-three thousand, six hundred".