100255412400 has 480 divisors, whose sum is σ = 399502430208. Its totient is φ = 21114470400.

The previous prime is 100255412363. The next prime is 100255412429. The reversal of 100255412400 is 4214552001.

It is a super-2 number, since 2×100255412400² (a number of 23 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 2900017 + ... + 2934383.

Almost surely, 2^100255412400 is an apocalyptic number.

100255412400 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 100255412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199751215104).

100255412400 is an abundant number, since it is smaller than the sum of its proper divisors (299247017808).

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

100255412400 is a wasteful number, since it uses less digits than its factorization.

100255412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34418 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 100255412400 its reverse (4214552001), we get a palindrome (104469964401).

The spelling of 100255412400 in words is "one hundred billion, two hundred fifty-five million, four hundred twelve thousand, four hundred".