105136056 has 80 divisors (see below), whose sum is σ = 297950400. Its totient is φ = 34632576.

The previous prime is 105136043. The next prime is 105136067. The reversal of 105136056 is 650631501.

It is a happy number.

105136056 is a `hidden beast` number, since 1 + 0 + 51 + 3 + 605 + 6 = 666.

It is a super-2 number, since 2×105136056² = 22107180542470272, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56761 + ... + 58583.

It is an arithmetic number, because the mean of its divisors is an integer number (3724380).

Almost surely, 2^105136056 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 105136056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148975200).

105136056 is an abundant number, since it is smaller than the sum of its proper divisors (192814344).

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

105136056 is a wasteful number, since it uses less digits than its factorization.

105136056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1917 counting only the distinct ones).

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

The square root of 105136056 is about 10253.5874697591. The cubic root of 105136056 is about 471.9730785181.

Adding to 105136056 its reverse (650631501), we get a palindrome (755767557).

It can be divided in two parts, 105 and 136056, that added together give a square (136161 = 369²).

The spelling of 105136056 in words is "one hundred five million, one hundred thirty-six thousand, fifty-six".