105421913280 has 336 divisors, whose sum is σ = 379599187968. Its totient is φ = 26820864000.

The previous prime is 105421913237. The next prime is 105421913291. The reversal of 105421913280 is 82319124501.

105421913280 is a `hidden beast` number, since 1 + 0 + 542 + 1 + 9 + 1 + 32 + 80 = 666.

It is a super-2 number, since 2×105421913280² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6330565 + ... + 6347195.

It is an arithmetic number, because the mean of its divisors is an integer number (1129759488).

Almost surely, 2^105421913280 is an apocalyptic number.

105421913280 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 105421913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189799593984).

105421913280 is an abundant number, since it is smaller than the sum of its proper divisors (274177274688).

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

105421913280 is a wasteful number, since it uses less digits than its factorization.

105421913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 16743 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 105421913280 in words is "one hundred five billion, four hundred twenty-one million, nine hundred thirteen thousand, two hundred eighty".