106504400 has 30 divisors (see below), whose sum is σ = 255877782. Its totient is φ = 42601600.

The previous prime is 106504393. The next prime is 106504423. The reversal of 106504400 is 4405601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19044496 + 87459904 = 4364^2 + 9352^2 .

It is a super-2 number, since 2×106504400² = 22686374438720000, which contains 22 as substring.

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

It is a congruent number.

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, 132731 + ... + 133530.

Almost surely, 2^106504400 is an apocalyptic number.

106504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106504400 is an abundant number, since it is smaller than the sum of its proper divisors (149373382).

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

106504400 is a wasteful number, since it uses less digits than its factorization.

106504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266279 (or 266268 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 106504400 is about 10320.0968987699. The cubic root of 106504400 is about 474.0118330409.

The spelling of 106504400 in words is "one hundred six million, five hundred four thousand, four hundred".