100412624400 has 720 divisors, whose sum is σ = 367954199424. Its totient is φ = 23372800000.

The previous prime is 100412624383. The next prime is 100412624423. The reversal of 100412624400 is 4426214001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 601273117 + ... + 601273283.

Almost surely, 2^100412624400 is an apocalyptic number.

100412624400 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 100412624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183977099712).

100412624400 is an abundant number, since it is smaller than the sum of its proper divisors (267541575024).

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

100412624400 is a wasteful number, since it uses less digits than its factorization.

100412624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100412624400 its reverse (4426214001), we get a palindrome (104838838401).

The spelling of 100412624400 in words is "one hundred billion, four hundred twelve million, six hundred twenty-four thousand, four hundred".