102900736 has 33 divisors (see below), whose sum is σ = 206351929. Its totient is φ = 51288064.

The previous prime is 102900731. The next prime is 102900757. The reversal of 102900736 is 637009201.

The square root of 102900736 is 10144.

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., 5760000 + 97140736 = 2400^2 + 9856^2 .

It is a super-2 number, since 2×102900736² = 21177122938683392, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102900731) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 324450 + ... + 324766.

Almost surely, 2^102900736 is an apocalyptic number.

102900736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102900736 is the 10144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102900736

102900736 is an abundant number, since it is smaller than the sum of its proper divisors (103451193).

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

102900736 is an frugal number, since it uses more digits than its factorization.

102900736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 102900736 is about 468.6041822944.

Adding to 102900736 its reverse (637009201), we get a palindrome (739909937).

The spelling of 102900736 in words is "one hundred two million, nine hundred thousand, seven hundred thirty-six".