101115564 has 48 divisors (see below), whose sum is σ = 259701120. Its totient is φ = 30365440.

The previous prime is 101115551. The next prime is 101115577. The reversal of 101115564 is 465511101.

It is an interprime number because it is at equal distance from previous prime (101115551) and next prime (101115577).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11527 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (5410440).

Almost surely, 2^101115564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101115564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129850560).

101115564 is an abundant number, since it is smaller than the sum of its proper divisors (158585556).

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

101115564 is a wasteful number, since it uses less digits than its factorization.

101115564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 101115564 is about 10055.6235013051. The cubic root of 101115564 is about 465.8785011152.

Adding to 101115564 its reverse (465511101), we get a palindrome (566626665).

The spelling of 101115564 in words is "one hundred one million, one hundred fifteen thousand, five hundred sixty-four".