101115567 has 48 divisors (see below), whose sum is σ = 181889280. Its totient is φ = 55251504.

The previous prime is 101115551. The next prime is 101115577. The reversal of 101115567 is 765511101.

It is a happy number.

101115567 is a `hidden beast` number, since 101 + 1 + 1 + 556 + 7 = 666.

It is not a de Polignac number, because 101115567 - 2⁴ = 101115551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101115567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101115517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28768 + ... + 32090.

It is an arithmetic number, because the mean of its divisors is an integer number (3789360).

Almost surely, 2^101115567 is an apocalyptic number.

101115567 is a deficient number, since it is larger than the sum of its proper divisors (80773713).

101115567 is a wasteful number, since it uses less digits than its factorization.

101115567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 101115567 is about 10055.6236504754. The cubic root of 101115567 is about 465.8785057226.

Adding to 101115567 its reverse (765511101), we get a palindrome (866626668).

The spelling of 101115567 in words is "one hundred one million, one hundred fifteen thousand, five hundred sixty-seven".