100412310400 has 192 divisors, whose sum is σ = 254252119680. Its totient is φ = 39172700160.

The previous prime is 100412310377. The next prime is 100412310419. The reversal of 100412310400 is 4013214001.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22080927 + ... + 22085473.

It is an arithmetic number, because the mean of its divisors is an integer number (1324229790).

Almost surely, 2^100412310400 is an apocalyptic number.

100412310400 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 100412310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127126059840).

100412310400 is an abundant number, since it is smaller than the sum of its proper divisors (153839809280).

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

100412310400 is a wasteful number, since it uses less digits than its factorization.

100412310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4724 counting only the distinct ones).

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

Adding to 100412310400 its reverse (4013214001), we get a palindrome (104425524401).

The spelling of 100412310400 in words is "one hundred billion, four hundred twelve million, three hundred ten thousand, four hundred".