100412415360 has 192 divisors, whose sum is σ = 346944293280. Its totient is φ = 26760609792.

The previous prime is 100412415359. The next prime is 100412415377. The reversal of 100412415360 is 63514214001.

It is a happy number.

100412415360 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 124 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 12016944 + ... + 12025296.

Almost surely, 2^100412415360 is an apocalyptic number.

100412415360 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 100412415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173472146640).

100412415360 is an abundant number, since it is smaller than the sum of its proper divisors (246531877920).

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

100412415360 is a wasteful number, since it uses less digits than its factorization.

100412415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100412415360 its reverse (63514214001), we get a palindrome (163926629361).

The spelling of 100412415360 in words is "one hundred billion, four hundred twelve million, four hundred fifteen thousand, three hundred sixty".