105172340 has 48 divisors (see below), whose sum is σ = 271834752. Its totient is φ = 33284736.

The previous prime is 105172337. The next prime is 105172349. The reversal of 105172340 is 43271501.

It is a super-2 number, since 2×105172340² = 22122442202151200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27074 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (5663224).

Almost surely, 2^105172340 is an apocalyptic number.

105172340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105172340 is an abundant number, since it is smaller than the sum of its proper divisors (166662412).

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

105172340 is a wasteful number, since it uses less digits than its factorization.

105172340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57816 (or 57814 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105172340 is about 10255.3566490883. The cubic root of 105172340 is about 472.0273672248.

The spelling of 105172340 in words is "one hundred five million, one hundred seventy-two thousand, three hundred forty".