100192120 has 32 divisors (see below), whose sum is σ = 257637600. Its totient is φ = 34351488.

The previous prime is 100192091. The next prime is 100192123. The reversal of 100192120 is 21291001.

It is a junction number, because it is equal to n+sod(n) for n = 100192094 and 100192103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100192123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178635 + ... + 179194.

It is an arithmetic number, because the mean of its divisors is an integer number (8051175).

Almost surely, 2^100192120 is an apocalyptic number.

100192120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100192120 is an abundant number, since it is smaller than the sum of its proper divisors (157445480).

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

100192120 is a wasteful number, since it uses less digits than its factorization.

100192120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357847 (or 357843 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 100192120 is about 10009.6013906649. The cubic root of 100192120 is about 464.4559405559.

The spelling of 100192120 in words is "one hundred million, one hundred ninety-two thousand, one hundred twenty".