103214412900 has 81 divisors (see below), whose sum is σ = 323550056011. Its totient is φ = 27521273280.

The previous prime is 103214412853. The next prime is 103214412907. The reversal of 103214412900 is 9214412301.

It is a happy number.

The square root of 103214412900 is 321270.

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

103214412900 is a `hidden beast` number, since 10 + 321 + 4 + 41 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19522237284 + 83692175616 = 139722^2 + 289296^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103214412907) 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, 9632746 + ... + 9643454.

Almost surely, 2^103214412900 is an apocalyptic number.

103214412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103214412900 is the 321270-th square number.

It is an amenable number.

103214412900 is an abundant number, since it is smaller than the sum of its proper divisors (220335643111).

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

103214412900 is an equidigital number, since it uses as much as digits as its factorization.

103214412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21438 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 103214412900 in words is "one hundred three billion, two hundred fourteen million, four hundred twelve thousand, nine hundred".