105273875 has 32 divisors (see below), whose sum is σ = 156708864. Its totient is φ = 69036000.

The previous prime is 105273871. The next prime is 105273893. The reversal of 105273875 is 578372501.

105273875 = 855² + 856² + ... + 979².

It is a happy number.

It is not a de Polignac number, because 105273875 - 2² = 105273871 is a prime.

It is a super-2 number, since 2×105273875² = 22165177515031250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105273871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17510 + ... + 22740.

It is an arithmetic number, because the mean of its divisors is an integer number (4897152).

Almost surely, 2^105273875 is an apocalyptic number.

105273875 is a deficient number, since it is larger than the sum of its proper divisors (51434989).

105273875 is an equidigital number, since it uses as much as digits as its factorization.

105273875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 105273875 is about 10260.3057946632. The cubic root of 105273875 is about 472.1792192034.

The spelling of 105273875 in words is "one hundred five million, two hundred seventy-three thousand, eight hundred seventy-five".