100396900 has 72 divisors (see below), whose sum is σ = 234125640. Its totient is φ = 37232640.

The previous prime is 100396889. The next prime is 100396921. The reversal of 100396900 is 9693001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1871424 + 98525476 = 1368^2 + 9926^2 .

It is a super-2 number, since 2×100396900² = 20159075059220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123696 + ... + 124504.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 2^100396900 is an apocalyptic number.

100396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117062820).

100396900 is an abundant number, since it is smaller than the sum of its proper divisors (133728740).

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

100396900 is a wasteful number, since it uses less digits than its factorization.

100396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 100396900 is about 10019.8253477793. The cubic root of 100396900 is about 464.7721549199.

It can be divided in two parts, 1003 and 96900, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 100396900 in words is "one hundred million, three hundred ninety-six thousand, nine hundred".