105122642688 has 432 divisors, whose sum is σ = 369780203520. Its totient is φ = 28036399104.

The previous prime is 105122642687. The next prime is 105122642699. The reversal of 105122642688 is 886246221501.

105122642688 is a `hidden beast` number, since 10 + 512 + 2 + 6 + 42 + 6 + 88 = 666.

It is a super-2 number, since 2×105122642688² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105122642687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34818843 + ... + 34821861.

Almost surely, 2^105122642688 is an apocalyptic number.

105122642688 is a gapful number since it is divisible by the number (18) 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 105122642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184890101760).

105122642688 is an abundant number, since it is smaller than the sum of its proper divisors (264657560832).

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

105122642688 is a wasteful number, since it uses less digits than its factorization.

105122642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 105122642688 in words is "one hundred five billion, one hundred twenty-two million, six hundred forty-two thousand, six hundred eighty-eight".