105897936 has 20 divisors (see below), whose sum is σ = 273569792. Its totient is φ = 35299296.

The previous prime is 105897929. The next prime is 105897943. The reversal of 105897936 is 639798501.

It is an interprime number because it is at equal distance from previous prime (105897929) and next prime (105897943).

It is a super-2 number, since 2×105897936² = 22428745698120192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2206207 = 105897936 / (1 + 0 + 5 + 8 + 9 + 7 + 9 + 3 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103056 + ... + 1103151.

Almost surely, 2^105897936 is an apocalyptic number.

105897936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105897936 is an abundant number, since it is smaller than the sum of its proper divisors (167671856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105897936 is a wasteful number, since it uses less digits than its factorization.

105897936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206218 (or 2206212 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 105897936 is about 10290.6722812458. The cubic root of 105897936 is about 473.1104039596.

The spelling of 105897936 in words is "one hundred five million, eight hundred ninety-seven thousand, nine hundred thirty-six".