105975121392 has 400 divisors, whose sum is σ = 375075993600. Its totient is φ = 28211950080.

The previous prime is 105975121391. The next prime is 105975121403. The reversal of 105975121392 is 293121579501.

105975121392 is a `hidden beast` number, since 1 + 0 + 597 + 5 + 1 + 21 + 39 + 2 = 666.

105975121392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105975121392² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105975121391) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10509409 + ... + 10519487.

It is an arithmetic number, because the mean of its divisors is an integer number (937689984).

Almost surely, 2^105975121392 is an apocalyptic number.

105975121392 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 105975121392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187537996800).

105975121392 is an abundant number, since it is smaller than the sum of its proper divisors (269100872208).

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

105975121392 is a wasteful number, since it uses less digits than its factorization.

105975121392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 105975121392 in words is "one hundred five billion, nine hundred seventy-five million, one hundred twenty-one thousand, three hundred ninety-two".