123432100 has 81 divisors (see below), whose sum is σ = 297354883. Its totient is φ = 44440000.

The previous prime is 123432083. The next prime is 123432103. The reversal of 123432100 is 1234321.

It is a happy number.

The square root of 123432100 is 11110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 100641024 = 4774^2 + 10032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123432103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1222050 + ... + 1222150.

Almost surely, 2^123432100 is an apocalyptic number.

123432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123432100 is the 11110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123432100

123432100 is an abundant number, since it is smaller than the sum of its proper divisors (173922783).

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

123432100 is a wasteful number, since it uses less digits than its factorization.

123432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The cubic root of 123432100 is about 497.9006645846.

Multiplying 123432100 by its sum of digits (16), we get a square (1974913600 = 44440²).

Multiplying 123432100 by its product of nonzero digits (144), we get a square (17774222400 = 133320²).

Adding to 123432100 its reverse (1234321), we get a palindrome (124666421).

Multiplying 123432100 by its reverse (1234321), we get a square (152354833104100 = 12343210²).

123432100 divided by its reverse (1234321) gives a square (100 = 10²).

The spelling of 123432100 in words is "one hundred twenty-three million, four hundred thirty-two thousand, one hundred".