101904992 has 48 divisors (see below), whose sum is σ = 230775552. Its totient is φ = 43390080.

The previous prime is 101904949. The next prime is 101904997. The reversal of 101904992 is 299409101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101904997) 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 7 ways as a sum of consecutive naturals, for example, 35117 + ... + 37907.

It is an arithmetic number, because the mean of its divisors is an integer number (4807824).

Almost surely, 2^101904992 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 101904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115387776).

101904992 is an abundant number, since it is smaller than the sum of its proper divisors (128870560).

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

101904992 is a wasteful number, since it uses less digits than its factorization.

101904992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 101904992 is about 10094.8002456710. The cubic root of 101904992 is about 467.0877595984.

The spelling of 101904992 in words is "one hundred one million, nine hundred four thousand, nine hundred ninety-two".