105149295 has 24 divisors (see below), whose sum is σ = 183218256. Its totient is φ = 55784448.

The previous prime is 105149279. The next prime is 105149309. The reversal of 105149295 is 592941501.

It is not a de Polignac number, because 105149295 - 2⁴ = 105149279 is a prime.

It is a super-2 number, since 2×105149295² = 22112748477994050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632 + ... + 14738.

It is an arithmetic number, because the mean of its divisors is an integer number (7634094).

Almost surely, 2^105149295 is an apocalyptic number.

105149295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105149295 is a deficient number, since it is larger than the sum of its proper divisors (78068961).

105149295 is a wasteful number, since it uses less digits than its factorization.

105149295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 105149295 is about 10254.2330283644. The cubic root of 105149295 is about 471.9928883708.

The spelling of 105149295 in words is "one hundred five million, one hundred forty-nine thousand, two hundred ninety-five".