105612045 has 64 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 43142400.

The previous prime is 105612043. The next prime is 105612047. The reversal of 105612045 is 540216501.

It is an interprime number because it is at equal distance from previous prime (105612043) and next prime (105612047).

It is not a de Polignac number, because 105612045 - 2¹ = 105612043 is a prime.

It is a super-2 number, since 2×105612045² = 22307808098164050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105612043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69706 + ... + 71204.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^105612045 is an apocalyptic number.

105612045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105612045 is an abundant number, since it is smaller than the sum of its proper divisors (108659955).

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

105612045 is a wasteful number, since it uses less digits than its factorization.

105612045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105612045 is about 10276.7721099575. The cubic root of 105612045 is about 472.6842706704.

Adding to 105612045 its reverse (540216501), we get a palindrome (645828546).

The spelling of 105612045 in words is "one hundred five million, six hundred twelve thousand, forty-five".