105422429376 has 168 divisors, whose sum is σ = 338554826064. Its totient is φ = 31082711040.

The previous prime is 105422429351. The next prime is 105422429417. The reversal of 105422429376 is 673924224501.

105422429376 is a `hidden beast` number, since 1 + 0 + 54 + 224 + 2 + 9 + 376 = 666.

It is a super-2 number, since 2×105422429376² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9586 + ... + 459278.

It is an arithmetic number, because the mean of its divisors is an integer number (2015207298).

Almost surely, 2^105422429376 is an apocalyptic number.

105422429376 is a gapful number since it is divisible by the number (16) 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 105422429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169277413032).

105422429376 is an abundant number, since it is smaller than the sum of its proper divisors (233132396688).

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

105422429376 is a wasteful number, since it uses less digits than its factorization.

105422429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449759 (or 449746 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 105422429376 in words is "one hundred five billion, four hundred twenty-two million, four hundred twenty-nine thousand, three hundred seventy-six".