100451234400 has 288 divisors, whose sum is σ = 368202433536. Its totient is φ = 23566080000.

The previous prime is 100451234383. The next prime is 100451234423. The reversal of 100451234400 is 4432154001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 757030 + ... + 879770.

It is an arithmetic number, because the mean of its divisors is an integer number (1278480672).

Almost surely, 2^100451234400 is an apocalyptic number.

100451234400 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 100451234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184101216768).

100451234400 is an abundant number, since it is smaller than the sum of its proper divisors (267751199136).

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

100451234400 is a wasteful number, since it uses less digits than its factorization.

100451234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122806 (or 122793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100451234400 its reverse (4432154001), we get a palindrome (104883388401).

The spelling of 100451234400 in words is "one hundred billion, four hundred fifty-one million, two hundred thirty-four thousand, four hundred".