105156101565 has 24 divisors (see below), whose sum is σ = 186716203128. Its totient is φ = 54715368960.

The previous prime is 105156101539. The next prime is 105156101573. The reversal of 105156101565 is 565101651501.

It is a happy number.

105156101565 is a `hidden beast` number, since 10 + 5 + 15 + 610 + 15 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8757029241 + 96399072324 = 93579^2 + 310482^2 .

It is not a de Polignac number, because 105156101565 - 2⁹ = 105156101053 is a prime.

It is a super-2 number, since 2×105156101565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28495744 + ... + 28499433.

It is an arithmetic number, because the mean of its divisors is an integer number (7779841797).

Almost surely, 2^105156101565 is an apocalyptic number.

105156101565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105156101565 is a deficient number, since it is larger than the sum of its proper divisors (81560101563).

105156101565 is a wasteful number, since it uses less digits than its factorization.

105156101565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56995229 (or 56995226 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105156101565 in words is "one hundred five billion, one hundred fifty-six million, one hundred one thousand, five hundred sixty-five".