105419999865232 has 80 divisors (see below), whose sum is σ = 222664502934720. Its totient is φ = 48058062552576.

The previous prime is 105419999865227. The next prime is 105419999865251. The reversal of 105419999865232 is 232568999914501.

It is a super-2 number, since 2×105419999865232² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74204838 + ... + 75612154.

It is an arithmetic number, because the mean of its divisors is an integer number (2783306286684).

Almost surely, 2^{105419999865232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105419999865232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111332251467360).

105419999865232 is an abundant number, since it is smaller than the sum of its proper divisors (117244503069488).

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

105419999865232 is a wasteful number, since it uses less digits than its factorization.

105419999865232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411760 (or 1411754 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 73.

The spelling of 105419999865232 in words is "one hundred five trillion, four hundred nineteen billion, nine hundred ninety-nine million, eight hundred sixty-five thousand, two hundred thirty-two".