105136556 has 72 divisors (see below), whose sum is σ = 222699456. Its totient is φ = 43276800.

The previous prime is 105136553. The next prime is 105136579. The reversal of 105136556 is 655631501.

It is a super-2 number, since 2×105136556² = 22107390815082272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105136553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930356 + ... + 930468.

It is an arithmetic number, because the mean of its divisors is an integer number (3093048).

Almost surely, 2^105136556 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 105136556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728).

105136556 is an abundant number, since it is smaller than the sum of its proper divisors (117562900).

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

105136556 is a wasteful number, since it uses less digits than its factorization.

105136556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 105136556 is about 10253.6118514404. The cubic root of 105136556 is about 471.9738267111.

The spelling of 105136556 in words is "one hundred five million, one hundred thirty-six thousand, five hundred fifty-six".