105136542 has 160 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 27542592.

The previous prime is 105136511. The next prime is 105136543. The reversal of 105136542 is 245631501.

105136542 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 654 + 2 = 666.

It is a super-2 number, since 2×105136542² = 22107384927435528, 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 not an unprimeable number, because it can be changed into a prime (105136543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 756309 + ... + 756447.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^105136542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105136542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

105136542 is an abundant number, since it is smaller than the sum of its proper divisors (187586658).

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

105136542 is a wasteful number, since it uses less digits than its factorization.

105136542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105136542 is about 10253.6111687542. The cubic root of 105136542 is about 471.9738057617.

The spelling of 105136542 in words is "one hundred five million, one hundred thirty-six thousand, five hundred forty-two".