105264012 has 48 divisors (see below), whose sum is σ = 283619840. Its totient is φ = 29763072.

The previous prime is 105263999. The next prime is 105264013. The reversal of 105264012 is 210462501.

It is a super-2 number, since 2×105264012² = 22161024444672288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105264012.

It is not an unprimeable number, because it can be changed into a prime (105264013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689 + ... + 14607.

Almost surely, 2^105264012 is an apocalyptic number.

105264012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105264012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141809920).

105264012 is an abundant number, since it is smaller than the sum of its proper divisors (178355828).

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

105264012 is a wasteful number, since it uses less digits than its factorization.

105264012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105264012 is about 10259.8251447089. The cubic root of 105264012 is about 472.1644727493.

The spelling of 105264012 in words is "one hundred five million, two hundred sixty-four thousand, twelve".