101993904 has 120 divisors (see below), whose sum is σ = 304442320. Its totient is φ = 33032448.

The previous prime is 101993887. The next prime is 101993909. The reversal of 101993904 is 409399101.

It is a super-2 number, since 2×101993904² = 20805512906322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101993909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143502 + ... + 144210.

Almost surely, 2^101993904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101993904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152221160).

101993904 is an abundant number, since it is smaller than the sum of its proper divisors (202448416).

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

101993904 is an equidigital number, since it uses as much as digits as its factorization.

101993904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 101993904 is about 10099.2031368816. The cubic root of 101993904 is about 467.2235646383.

The spelling of 101993904 in words is "one hundred one million, nine hundred ninety-three thousand, nine hundred four".