105370400 has 36 divisors (see below), whose sum is σ = 257237442. Its totient is φ = 42147840.

The previous prime is 105370387. The next prime is 105370411. The reversal of 105370400 is 4073501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87086224 + 18284176 = 9332^2 + 4276^2 .

It is a super-2 number, since 2×105370400² = 22205842392320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65057 + ... + 66656.

Almost surely, 2^105370400 is an apocalyptic number.

105370400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105370400 is an abundant number, since it is smaller than the sum of its proper divisors (151867042).

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

105370400 is a wasteful number, since it uses less digits than its factorization.

105370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131733 (or 131720 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 105370400 is about 10265.0085241075. The cubic root of 105370400 is about 472.3234879070.

The spelling of 105370400 in words is "one hundred five million, three hundred seventy thousand, four hundred".