100011054400 has 168 divisors, whose sum is σ = 264240605376. Its totient is φ = 37120204800.

The previous prime is 100011054397. The next prime is 100011054401. The reversal of 100011054400 is 4450110001.

It is a super-2 number, since 2×100011054400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011054401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1905307 + ... + 1957093.

Almost surely, 2^100011054400 is an apocalyptic number.

100011054400 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 100011054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132120302688).

100011054400 is an abundant number, since it is smaller than the sum of its proper divisors (164229550976).

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

100011054400 is a wasteful number, since it uses less digits than its factorization.

100011054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51897 (or 51882 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100011054400 its reverse (4450110001), we get a palindrome (104461164401).

The spelling of 100011054400 in words is "one hundred billion, eleven million, fifty-four thousand, four hundred".