105101689 has 12 divisors (see below), whose sum is σ = 132029632. Its totient is φ = 81896760.

The previous prime is 105101683. The next prime is 105101707. The reversal of 105101689 is 986101501.

It is not a de Polignac number, because 105101689 - 2¹³ = 105093497 is a prime.

It is a super-2 number, since 2×105101689² = 22092730061305442, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105101689.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61197 + ... + 62890.

Almost surely, 2^105101689 is an apocalyptic number.

It is an amenable number.

105101689 is a deficient number, since it is larger than the sum of its proper divisors (26927943).

105101689 is a wasteful number, since it uses less digits than its factorization.

105101689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124116 (or 124105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 105101689 is about 10251.9114803045. The cubic root of 105101689 is about 471.9216465385.

The spelling of 105101689 in words is "one hundred five million, one hundred one thousand, six hundred eighty-nine".