105966102 has 16 divisors (see below), whose sum is σ = 231198912. Its totient is φ = 32110920.

The previous prime is 105966101. The next prime is 105966109. The reversal of 105966102 is 201669501.

It is a super-2 number, since 2×105966102² = 22457629546148808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105966102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105966101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802708 + ... + 802839.

It is an arithmetic number, because the mean of its divisors is an integer number (14449932).

Almost surely, 2^105966102 is an apocalyptic number.

105966102 is an abundant number, since it is smaller than the sum of its proper divisors (125232810).

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

105966102 is a wasteful number, since it uses less digits than its factorization.

105966102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605563.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105966102 is about 10293.9837769447. The cubic root of 105966102 is about 473.2118951619.

It can be divided in two parts, 1059 and 66102, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 105966102 in words is "one hundred five million, nine hundred sixty-six thousand, one hundred two".