100011352400 has 30 divisors (see below), whose sum is σ = 240277275102. Its totient is φ = 40004540800.

The previous prime is 100011352379. The next prime is 100011352409. The reversal of 100011352400 is 4253110001.

It can be written as a sum of positive squares in 3 ways, for example, as 322130704 + 99689221696 = 17948^2 + 315736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011352409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125013791 + ... + 125014590.

Almost surely, 2^100011352400 is an apocalyptic number.

100011352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011352400 is an abundant number, since it is smaller than the sum of its proper divisors (140265922702).

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

100011352400 is a wasteful number, since it uses less digits than its factorization.

100011352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250028399 (or 250028388 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100011352400 its reverse (4253110001), we get a palindrome (104264462401).

The spelling of 100011352400 in words is "one hundred billion, eleven million, three hundred fifty-two thousand, four hundred".