105702252 has 12 divisors (see below), whose sum is σ = 246638616. Its totient is φ = 35234080.

The previous prime is 105702251. The next prime is 105702253. The reversal of 105702252 is 252207501.

It is an interprime number because it is at equal distance from previous prime (105702251) and next prime (105702253).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105702252² = 22345932155743008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105702251) 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, 4404249 + ... + 4404272.

It is an arithmetic number, because the mean of its divisors is an integer number (20553218).

Almost surely, 2^105702252 is an apocalyptic number.

105702252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105702252 is an abundant number, since it is smaller than the sum of its proper divisors (140936364).

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

105702252 is a wasteful number, since it uses less digits than its factorization.

105702252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808528 (or 8808526 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105702252 is about 10281.1600512783. The cubic root of 105702252 is about 472.8188111823.

Adding to 105702252 its reverse (252207501), we get a palindrome (357909753).

The spelling of 105702252 in words is "one hundred five million, seven hundred two thousand, two hundred fifty-two".