109768900 has 36 divisors (see below), whose sum is σ = 238756420. Its totient is φ = 43804800.

The previous prime is 109768891. The next prime is 109768907. The reversal of 109768900 is 9867901.

It can be written as a sum of positive squares in 6 ways, for example, as 2604996 + 107163904 = 1614^2 + 10352^2 .

It is a super-2 number, since 2×109768900² = 24098422814420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109768907) 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, 53086 + ... + 55114.

Almost surely, 2^109768900 is an apocalyptic number.

109768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109768900 is an abundant number, since it is smaller than the sum of its proper divisors (128987520).

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

109768900 is a wasteful number, since it uses less digits than its factorization.

109768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 109768900 is about 10477.0654288307. The cubic root of 109768900 is about 478.8062058642.

Subtracting from 109768900 its reverse (9867901), we obtain a palindrome (99900999).

The spelling of 109768900 in words is "one hundred nine million, seven hundred sixty-eight thousand, nine hundred".