107289800 has 24 divisors (see below), whose sum is σ = 249449250. Its totient is φ = 42915840.

The previous prime is 107289799. The next prime is 107289803. The reversal of 107289800 is 8982701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 103999204 + 3290596 = 10198^2 + 1814^2 .

It is a super-2 number, since 2×107289800² = 23022202368080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107289803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268025 + ... + 268424.

Almost surely, 2^107289800 is an apocalyptic number.

107289800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107289800 is an abundant number, since it is smaller than the sum of its proper divisors (142159450).

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

107289800 is a wasteful number, since it uses less digits than its factorization.

107289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536465 (or 536456 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 107289800 is about 10358.0789724736. The cubic root of 107289800 is about 475.1741558989.

The spelling of 107289800 in words is "one hundred seven million, two hundred eighty-nine thousand, eight hundred".