105294397 has 16 divisors (see below), whose sum is σ = 115770928. Its totient is φ = 95178240.

The previous prime is 105294377. The next prime is 105294407. The reversal of 105294397 is 793492501.

It can be written as a sum of positive squares in 8 ways, for example, as 61058596 + 44235801 = 7814^2 + 6651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105294397 is a prime.

It is a super-2 number, since 2×105294397² = 22173820079187218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105294367) 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, 171463 + ... + 172075.

It is an arithmetic number, because the mean of its divisors is an integer number (7235683).

Almost surely, 2^105294397 is an apocalyptic number.

It is an amenable number.

105294397 is a deficient number, since it is larger than the sum of its proper divisors (10476531).

105294397 is a wasteful number, since it uses less digits than its factorization.

105294397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 105294397 is about 10261.3058135892. The cubic root of 105294397 is about 472.2098992822.

The spelling of 105294397 in words is "one hundred five million, two hundred ninety-four thousand, three hundred ninety-seven".