105317872 has 40 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 47590080.

The previous prime is 105317869. The next prime is 105317887. The reversal of 105317872 is 278713501.

It is a super-2 number, since 2×105317872² = 22183708325216768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29833 + ... + 33175.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^105317872 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 105317872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

105317872 is an abundant number, since it is smaller than the sum of its proper divisors (118596368).

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

105317872 is a wasteful number, since it uses less digits than its factorization.

105317872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 105317872 is about 10262.4496101077. The cubic root of 105317872 is about 472.2449891635.

The spelling of 105317872 in words is "one hundred five million, three hundred seventeen thousand, eight hundred seventy-two".