105136755 has 48 divisors (see below), whose sum is σ = 181547520. Its totient is φ = 51936768.

The previous prime is 105136753. The next prime is 105136769. The reversal of 105136755 is 557631501.

It is not a de Polignac number, because 105136755 - 2¹ = 105136753 is a prime.

It is a super-2 number, since 2×105136755² = 22107474503860050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105136753) 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 47 ways as a sum of consecutive naturals, for example, 342312 + ... + 342618.

It is an arithmetic number, because the mean of its divisors is an integer number (3782240).

Almost surely, 2^105136755 is an apocalyptic number.

105136755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105136755 is a deficient number, since it is larger than the sum of its proper divisors (76410765).

105136755 is a wasteful number, since it uses less digits than its factorization.

105136755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 105136755 is about 10253.6215553335. The cubic root of 105136755 is about 471.9741244912.

The spelling of 105136755 in words is "one hundred five million, one hundred thirty-six thousand, seven hundred fifty-five".