105897815 has 16 divisors (see below), whose sum is σ = 131580288. Its totient is φ = 81766656.

The previous prime is 105897797. The next prime is 105897833. The reversal of 105897815 is 518798501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105897797) and next prime (105897833).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105897815 is a prime.

It is a super-2 number, since 2×105897815² = 22428694443548450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14069 + ... + 20241.

It is an arithmetic number, because the mean of its divisors is an integer number (8223768).

Almost surely, 2^105897815 is an apocalyptic number.

105897815 is a deficient number, since it is larger than the sum of its proper divisors (25682473).

105897815 is an equidigital number, since it uses as much as digits as its factorization.

105897815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298.

The product of its (nonzero) digits is 100800, while the sum is 44.

The square root of 105897815 is about 10290.6664021335. Note that the first 3 decimals coincide. The cubic root of 105897815 is about 473.1102237660.

The spelling of 105897815 in words is "one hundred five million, eight hundred ninety-seven thousand, eight hundred fifteen".