105013566 has 96 divisors (see below), whose sum is σ = 270129600. Its totient is φ = 29465856.

The previous prime is 105013537. The next prime is 105013567. The reversal of 105013566 is 665310501.

It is a happy number.

It is a super-2 number, since 2×105013566² = 22055698088072712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013567) 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, 450586 + ... + 450818.

It is an arithmetic number, because the mean of its divisors is an integer number (2813850).

Almost surely, 2^105013566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105013566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135064800).

105013566 is an abundant number, since it is smaller than the sum of its proper divisors (165116034).

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

105013566 is a wasteful number, since it uses less digits than its factorization.

105013566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105013566 is about 10247.6126975994. The cubic root of 105013566 is about 471.7897146921.

The spelling of 105013566 in words is "one hundred five million, thirteen thousand, five hundred sixty-six".