100413265680 has 1920 divisors, whose sum is σ = 478769356800. Its totient is φ = 19083423744.

The previous prime is 100413265669. The next prime is 100413265691. The reversal of 100413265680 is 86562314001.

It is a happy number.

100413265680 is a `hidden beast` number, since 100 + 413 + 2 + 65 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (100413265669) and next prime (100413265691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 601276957 + ... + 601277123.

It is an arithmetic number, because the mean of its divisors is an integer number (249359040).

Almost surely, 2^100413265680 is an apocalyptic number.

100413265680 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 100413265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239384678400).

100413265680 is an abundant number, since it is smaller than the sum of its proper divisors (378356091120).

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

100413265680 is a wasteful number, since it uses less digits than its factorization.

100413265680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 100413265680 its reverse (86562314001), we get a palindrome (186975579681).

The spelling of 100413265680 in words is "one hundred billion, four hundred thirteen million, two hundred sixty-five thousand, six hundred eighty".