105122136 has 64 divisors (see below), whose sum is σ = 316166400. Its totient is φ = 28453248.

The previous prime is 105122119. The next prime is 105122137. The reversal of 105122136 is 631221501.

It is a super-2 number, since 2×105122136² = 22101326954404992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13275 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (4940100).

Almost surely, 2^105122136 is an apocalyptic number.

It is an amenable number.

105122136 is an abundant number, since it is smaller than the sum of its proper divisors (211044264).

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

105122136 is a wasteful number, since it uses less digits than its factorization.

105122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32968 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105122136 is about 10252.9086604729. The cubic root of 105122136 is about 471.9522478743.

Adding to 105122136 its reverse (631221501), we get a palindrome (736343637).

The spelling of 105122136 in words is "one hundred five million, one hundred twenty-two thousand, one hundred thirty-six".