105264192 has 168 divisors, whose sum is σ = 321064128. Its totient is φ = 30356480.

The previous prime is 105264191. The next prime is 105264193. The reversal of 105264192 is 291462501.

It is an interprime number because it is at equal distance from previous prime (105264191) and next prime (105264193).

It is a super-2 number, since 2×105264192² = 22161100234825728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105264191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534238 + ... + 534434.

It is an arithmetic number, because the mean of its divisors is an integer number (1911096).

Almost surely, 2^105264192 is an apocalyptic number.

105264192 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 105264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

105264192 is an abundant number, since it is smaller than the sum of its proper divisors (215799936).

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

105264192 is a wasteful number, since it uses less digits than its factorization.

105264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105264192 is about 10259.8339167844. The cubic root of 105264192 is about 472.1647418807.

The spelling of 105264192 in words is "one hundred five million, two hundred sixty-four thousand, one hundred ninety-two".