104432400 has 90 divisors (see below), whose sum is σ = 362421930. Its totient is φ = 27847680.

The previous prime is 104432399. The next prime is 104432401. The reversal of 104432400 is 4234401.

It is an interprime number because it is at equal distance from previous prime (104432399) and next prime (104432401).

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 104284944 = 384^2 + 10212^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×104432400² = 21812252339520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104432401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10905 + ... + 18104.

Almost surely, 2^104432400 is an apocalyptic number.

104432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104432400 is an abundant number, since it is smaller than the sum of its proper divisors (257989530).

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

104432400 is a wasteful number, since it uses less digits than its factorization.

104432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29033 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104432400 is about 10219.2171911551. The cubic root of 104432400 is about 470.9177781205.

Adding to 104432400 its reverse (4234401), we get a palindrome (108666801).

The spelling of 104432400 in words is "one hundred four million, four hundred thirty-two thousand, four hundred".