105294646392 has 128 divisors (see below), whose sum is σ = 297467251200. Its totient is φ = 30816225792.

The previous prime is 105294646363. The next prime is 105294646409. The reversal of 105294646392 is 293646492501.

It is a super-2 number, since 2×105294646392² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243518 + ... + 1325490.

It is an arithmetic number, because the mean of its divisors is an integer number (2323962900).

Almost surely, 2^105294646392 is an apocalyptic number.

105294646392 is a gapful number since it is divisible by the number (12) 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 105294646392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148733625600).

105294646392 is an abundant number, since it is smaller than the sum of its proper divisors (192172604808).

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

105294646392 is a wasteful number, since it uses less digits than its factorization.

105294646392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82197 (or 82193 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 105294646392 in words is "one hundred five billion, two hundred ninety-four million, six hundred forty-six thousand, three hundred ninety-two".