105525117792 has 168 divisors, whose sum is σ = 327881768760. Its totient is φ = 33323581440.

The previous prime is 105525117791. The next prime is 105525117793. The reversal of 105525117792 is 297711525501.

105525117792 is a `hidden beast` number, since 1 + 0 + 5 + 525 + 117 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (105525117791) and next prime (105525117793).

It is a super-2 number, since 2×105525117792² (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 (105525117791) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 324192 + ... + 562272.

It is an arithmetic number, because the mean of its divisors is an integer number (1951677195).

Almost surely, 2^105525117792 is an apocalyptic number.

105525117792 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 105525117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940884380).

105525117792 is an abundant number, since it is smaller than the sum of its proper divisors (222356650968).

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

105525117792 is an equidigital number, since it uses as much as digits as its factorization.

105525117792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238128 (or 238105 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 105525117792 in words is "one hundred five billion, five hundred twenty-five million, one hundred seventeen thousand, seven hundred ninety-two".