100345200 has 60 divisors (see below), whose sum is σ = 321442968. Its totient is φ = 26758400.

The previous prime is 100345151. The next prime is 100345207. The reversal of 100345200 is 2543001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100345200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100345207) 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, 40611 + ... + 43010.

Almost surely, 2^100345200 is an apocalyptic number.

100345200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100345200 is an abundant number, since it is smaller than the sum of its proper divisors (221097768).

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

100345200 is a wasteful number, since it uses less digits than its factorization.

100345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83642 (or 83631 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100345200 is about 10017.2451302741. The cubic root of 100345200 is about 464.6923621302.

Adding to 100345200 its reverse (2543001), we get a palindrome (102888201).

The spelling of 100345200 in words is "one hundred million, three hundred forty-five thousand, two hundred".