102926900 has 36 divisors (see below), whose sum is σ = 224550732. Its totient is φ = 40949760.

The previous prime is 102926899. The next prime is 102926903. The reversal of 102926900 is 9629201.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 102131236 = 892^2 + 10106^2 .

It is a super-2 number, since 2×102926900² = 21187893487220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102926903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16634 + ... + 21966.

Almost surely, 2^102926900 is an apocalyptic number.

102926900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102926900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275366).

102926900 is an abundant number, since it is smaller than the sum of its proper divisors (121623832).

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

102926900 is a wasteful number, since it uses less digits than its factorization.

102926900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 102926900 is about 10145.2895473712. The cubic root of 102926900 is about 468.6438953918.

The spelling of 102926900 in words is "one hundred two million, nine hundred twenty-six thousand, nine hundred".