101614312900 has 81 divisors (see below), whose sum is σ = 223141972557. Its totient is φ = 40165020000.

The previous prime is 101614312861. The next prime is 101614312907. The reversal of 101614312900 is 9213416101.

The square root of 101614312900 is 318770.

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

It can be written as a sum of positive squares in only one way, i.e., 36581152644 + 65033160256 = 191262^2 + 255016^2 .

It is a super-2 number, since 2×101614312900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101614312907) 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, 404837775 + ... + 404838025.

Almost surely, 2^101614312900 is an apocalyptic number.

101614312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101614312900 is the 318770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101614312900

101614312900 is an abundant number, since it is smaller than the sum of its proper divisors (121527659657).

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

101614312900 is an equidigital number, since it uses as much as digits as its factorization.

101614312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Multiplying 101614312900 by its product of nonzero digits (1296), we get a square (131692149518400 = 11475720²).

The spelling of 101614312900 in words is "one hundred one billion, six hundred fourteen million, three hundred twelve thousand, nine hundred".