123372100 has 18 divisors (see below), whose sum is σ = 267717674. Its totient is φ = 49348800.

The previous prime is 123372089. The next prime is 123372101. The reversal of 123372100 is 1273321.

It can be written as a sum of positive squares in 3 ways, for example, as 5692996 + 117679104 = 2386^2 + 10848^2 .

It is not an unprimeable number, because it can be changed into a prime (123372101) 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 5 ways as a sum of consecutive naturals, for example, 616761 + ... + 616960.

Almost surely, 2^123372100 is an apocalyptic number.

123372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123372100 is an abundant number, since it is smaller than the sum of its proper divisors (144345574).

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

123372100 is a wasteful number, since it uses less digits than its factorization.

123372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233735 (or 1233728 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 123372100 is about 11107.2994017448. The cubic root of 123372100 is about 497.8199754668.

The spelling of 123372100 in words is "one hundred twenty-three million, three hundred seventy-two thousand, one hundred".