105055136 has 24 divisors (see below), whose sum is σ = 212419620. Its totient is φ = 51107328.

The previous prime is 105055133. The next prime is 105055141. The reversal of 105055136 is 631550501.

It can be written as a sum of positive squares in 2 ways, for example, as 104939536 + 115600 = 10244^2 + 340^2 .

It is a super-2 number, since 2×105055136² = 22073163199956992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43181 + ... + 45548.

Almost surely, 2^105055136 is an apocalyptic number.

105055136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105055136 is an abundant number, since it is smaller than the sum of its proper divisors (107364484).

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

105055136 is an equidigital number, since it uses as much as digits as its factorization.

105055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88776 (or 88768 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 105055136 is about 10249.6407741930. The cubic root of 105055136 is about 471.8519597013.

The spelling of 105055136 in words is "one hundred five million, fifty-five thousand, one hundred thirty-six".