105315785280 has 280 divisors, whose sum is σ = 377334840960. Its totient is φ = 27881210880.

The previous prime is 105315785279. The next prime is 105315785291. The reversal of 105315785280 is 82587513501.

105315785280 is a `hidden beast` number, since 1 + 0 + 53 + 1 + 5 + 78 + 528 + 0 = 666.

It is a super-2 number, since 2×105315785280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3588265 + ... + 3617495.

It is an arithmetic number, because the mean of its divisors is an integer number (1347624432).

Almost surely, 2^105315785280 is an apocalyptic number.

105315785280 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 105315785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188667420480).

105315785280 is an abundant number, since it is smaller than the sum of its proper divisors (272019055680).

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

105315785280 is a wasteful number, since it uses less digits than its factorization.

105315785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29399 (or 29380 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 105315785280 in words is "one hundred five billion, three hundred fifteen million, seven hundred eighty-five thousand, two hundred eighty".