100033038400 has 63 divisors (see below), whose sum is σ = 246174928909. Its totient is φ = 40008154880.

The previous prime is 100033038379. The next prime is 100033038449. The reversal of 100033038400 is 4830330001.

The square root of 100033038400 is 316280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36011893824 + 64021144576 = 189768^2 + 253024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12647247 + ... + 12655153.

Almost surely, 2^100033038400 is an apocalyptic number.

100033038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100033038400 is the 316280-th square number.

It is an amenable number.

100033038400 is an abundant number, since it is smaller than the sum of its proper divisors (146141890509).

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

100033038400 is an frugal number, since it uses more digits than its factorization.

100033038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15836 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100033038400 its reverse (4830330001), we get a palindrome (104863368401).

It can be divided in two parts, 10003 and 3038400, that added together give a palindrome (3048403).

The spelling of 100033038400 in words is "one hundred billion, thirty-three million, thirty-eight thousand, four hundred".