101993400 has 72 divisors (see below), whose sum is σ = 342533880. Its totient is φ = 27197760.

The previous prime is 101993393. The next prime is 101993429. The reversal of 101993400 is 4399101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26532 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (4757415).

Almost surely, 2^101993400 is an apocalyptic number.

101993400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101993400 is an abundant number, since it is smaller than the sum of its proper divisors (240540480).

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

101993400 is a wasteful number, since it uses less digits than its factorization.

101993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56685 (or 56673 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101993400 is about 10099.1781843871. The cubic root of 101993400 is about 467.2227950464. Note that the first 3 decimals are identical.

The spelling of 101993400 in words is "one hundred one million, nine hundred ninety-three thousand, four hundred".