100034400 has 72 divisors (see below), whose sum is σ = 325619784. Its totient is φ = 26675200.

The previous prime is 100034399. The next prime is 100034401. The reversal of 100034400 is 4430001.

It is an interprime number because it is at equal distance from previous prime (100034399) and next prime (100034401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18441 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (4522497).

Almost surely, 2^100034400 is an apocalyptic number.

100034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034400 is an abundant number, since it is smaller than the sum of its proper divisors (225585384).

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

100034400 is a wasteful number, since it uses less digits than its factorization.

100034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41704 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100034400 is about 10001.7198521054. The cubic root of 100034400 is about 464.2121008114.

Adding to 100034400 its reverse (4430001), we get a palindrome (104464401).

The spelling of 100034400 in words is "one hundred million, thirty-four thousand, four hundred".