105288195 has 16 divisors (see below), whose sum is σ = 168592032. Its totient is φ = 56110080.

The previous prime is 105288193. The next prime is 105288217. The reversal of 105288195 is 591882501.

It is not a de Polignac number, because 105288195 - 2¹ = 105288193 is a prime.

It is a super-2 number, since 2×105288195² = 22171208012716050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105288193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29529 + ... + 32901.

It is an arithmetic number, because the mean of its divisors is an integer number (10537002).

Almost surely, 2^105288195 is an apocalyptic number.

105288195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105288195 is a deficient number, since it is larger than the sum of its proper divisors (63303837).

105288195 is a wasteful number, since it uses less digits than its factorization.

105288195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462.

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 105288195 is about 10261.0036058857. The cubic root of 105288195 is about 472.2006278066.

The spelling of 105288195 in words is "one hundred five million, two hundred eighty-eight thousand, one hundred ninety-five".