100011342400 has 84 divisors (see below), whose sum is σ = 246630703588. Its totient is φ = 39916707840.

The previous prime is 100011342349. The next prime is 100011342481. The reversal of 100011342400 is 4243110001.

It can be written as a sum of positive squares in 6 ways, for example, as 9929723904 + 90081618496 = 99648^2 + 300136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662812 + ... + 799588.

Almost surely, 2^100011342400 is an apocalyptic number.

100011342400 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 100011342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123315351794).

100011342400 is an abundant number, since it is smaller than the sum of its proper divisors (146619361188).

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

100011342400 is a wasteful number, since it uses less digits than its factorization.

100011342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137256 (or 137241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100011342400 its reverse (4243110001), we get a palindrome (104254452401).

The spelling of 100011342400 in words is "one hundred billion, eleven million, three hundred forty-two thousand, four hundred".