105279097 has 24 divisors (see below), whose sum is σ = 137237760. Its totient is φ = 79803360.

The previous prime is 105279091. The next prime is 105279101. The reversal of 105279097 is 790972501.

It is not a de Polignac number, because 105279097 - 2²³ = 96890489 is a prime.

It is a super-2 number, since 2×105279097² = 22167376530270818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105279091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17304 + ... + 22582.

It is an arithmetic number, because the mean of its divisors is an integer number (5718240).

Almost surely, 2^105279097 is an apocalyptic number.

It is an amenable number.

105279097 is a deficient number, since it is larger than the sum of its proper divisors (31958663).

105279097 is a wasteful number, since it uses less digits than its factorization.

105279097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The square root of 105279097 is about 10260.5602673538. The cubic root of 105279097 is about 472.1870263923.

The spelling of 105279097 in words is "one hundred five million, two hundred seventy-nine thousand, ninety-seven".