107054800 has 30 divisors (see below), whose sum is σ = 257200118. Its totient is φ = 42821760.

The previous prime is 107054791. The next prime is 107054819. The reversal of 107054800 is 8450701.

It can be written as a sum of positive squares in 3 ways, for example, as 4963984 + 102090816 = 2228^2 + 10104^2 .

It is a super-2 number, since 2×107054800² = 22921460406080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133419 + ... + 134218.

Almost surely, 2^107054800 is an apocalyptic number.

107054800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107054800 is an abundant number, since it is smaller than the sum of its proper divisors (150145318).

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

107054800 is a wasteful number, since it uses less digits than its factorization.

107054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267655 (or 267644 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 107054800 is about 10346.7289517026. The cubic root of 107054800 is about 474.8269729906.

The spelling of 107054800 in words is "one hundred seven million, fifty-four thousand, eight hundred".