100213800 has 48 divisors (see below), whose sum is σ = 310664640. Its totient is φ = 26723520.

The previous prime is 100213777. The next prime is 100213811. The reversal of 100213800 is 8312001.

It is a happy number.

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 100213800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82912 + ... + 84111.

It is an arithmetic number, because the mean of its divisors is an integer number (6472180).

Almost surely, 2^100213800 is an apocalyptic number.

100213800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213800 is an abundant number, since it is smaller than the sum of its proper divisors (210450840).

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

100213800 is a wasteful number, since it uses less digits than its factorization.

100213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167042 (or 167033 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100213800 is about 10010.6842922949. The cubic root of 100213800 is about 464.4894384617.

Adding to 100213800 its reverse (8312001), we get a palindrome (108525801).

The spelling of 100213800 in words is "one hundred million, two hundred thirteen thousand, eight hundred".