105791409360 has 1440 divisors, whose sum is σ = 480219597312. Its totient is φ = 20304691200.

The previous prime is 105791409263. The next prime is 105791409371. The reversal of 105791409360 is 63904197501.

105791409360 is a `hidden beast` number, since 1 + 0 + 579 + 1 + 40 + 9 + 36 + 0 = 666.

It is a super-2 number, since 2×105791409360² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 700605285 + ... + 700605435.

Almost surely, 2^105791409360 is an apocalyptic number.

105791409360 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 105791409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240109798656).

105791409360 is an abundant number, since it is smaller than the sum of its proper divisors (374428187952).

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

105791409360 is a wasteful number, since it uses less digits than its factorization.

105791409360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 105791409360 in words is "one hundred five billion, seven hundred ninety-one million, four hundred nine thousand, three hundred sixty".