105532930704 has 160 divisors (see below), whose sum is σ = 286540053120. Its totient is φ = 33425473536.

The previous prime is 105532930637. The next prime is 105532930753. The reversal of 105532930704 is 407039235501.

It is a happy number.

It is a super-2 number, since 2×105532930704² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23381952 + ... + 23386464.

It is an arithmetic number, because the mean of its divisors is an integer number (1790875332).

Almost surely, 2^105532930704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105532930704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143270026560).

105532930704 is an abundant number, since it is smaller than the sum of its proper divisors (181007122416).

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

105532930704 is a wasteful number, since it uses less digits than its factorization.

105532930704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 105532930704 in words is "one hundred five billion, five hundred thirty-two million, nine hundred thirty thousand, seven hundred four".