105346872 has 32 divisors (see below), whose sum is σ = 292630800. Its totient is φ = 35115552.

The previous prime is 105346799. The next prime is 105346873. The reversal of 105346872 is 278643501.

It is a super-2 number, since 2×105346872² = 22195926880368768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105346873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243643 + ... + 244074.

Almost surely, 2^105346872 is an apocalyptic number.

105346872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105346872 is an abundant number, since it is smaller than the sum of its proper divisors (187283928).

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

105346872 is a wasteful number, since it uses less digits than its factorization.

105346872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487732 (or 487722 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105346872 is about 10263.8624308785. The cubic root of 105346872 is about 472.2883304870.

The spelling of 105346872 in words is "one hundred five million, three hundred forty-six thousand, eight hundred seventy-two".