105364872 has 48 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 34850400.

The previous prime is 105364871. The next prime is 105364891. The reversal of 105364872 is 278463501.

105364872 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 648 + 7 + 2 = 666.

It is a super-2 number, since 2×105364872² = 22203512503152768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105364871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3847 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2^105364872 is an apocalyptic number.

105364872 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 105364872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

105364872 is an abundant number, since it is smaller than the sum of its proper divisors (182202408).

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

105364872 is a wasteful number, since it uses less digits than its factorization.

105364872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314 (or 11307 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105364872 is about 10264.7392563085. The cubic root of 105364872 is about 472.3152279975.

The spelling of 105364872 in words is "one hundred five million, three hundred sixty-four thousand, eight hundred seventy-two".