105106761 has 16 divisors (see below), whose sum is σ = 157259520. Its totient is φ = 69375600.

The previous prime is 105106753. The next prime is 105106763. The reversal of 105106761 is 167601501.

It is not a de Polignac number, because 105106761 - 2³ = 105106753 is a prime.

It is a super-2 number, since 2×105106761² = 22094862415822242, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105106763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16545 + ... + 21998.

It is an arithmetic number, because the mean of its divisors is an integer number (9828720).

Almost surely, 2^105106761 is an apocalyptic number.

It is an amenable number.

105106761 is a deficient number, since it is larger than the sum of its proper divisors (52152759).

105106761 is a wasteful number, since it uses less digits than its factorization.

105106761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38653 (or 38647 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105106761 is about 10252.1588458236. The cubic root of 105106761 is about 471.9292377520.

It can be divided in two parts, 10510 and 6761, that added together give a palindrome (17271).

The spelling of 105106761 in words is "one hundred five million, one hundred six thousand, seven hundred sixty-one".