105372708 has 96 divisors (see below), whose sum is σ = 299120640. Its totient is φ = 28200960.

The previous prime is 105372697. The next prime is 105372713. The reversal of 105372708 is 807273501.

It is a super-2 number, since 2×105372708² = 22206815182506528, which 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, 164068 + ... + 164708.

It is an arithmetic number, because the mean of its divisors is an integer number (3115840).

Almost surely, 2^105372708 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 105372708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149560320).

105372708 is an abundant number, since it is smaller than the sum of its proper divisors (193747932).

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

105372708 is a wasteful number, since it uses less digits than its factorization.

105372708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 105372708 is about 10265.1209442461. The cubic root of 105372708 is about 472.3269364234.

The spelling of 105372708 in words is "one hundred five million, three hundred seventy-two thousand, seven hundred eight".