105084864 has 168 divisors, whose sum is σ = 324520560. Its totient is φ = 33675264.

The previous prime is 105084827. The next prime is 105084901. The reversal of 105084864 is 468480501.

It is an interprime number because it is at equal distance from previous prime (105084827) and next prime (105084901).

It is a super-2 number, since 2×105084864² = 22085657283796992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450892 + ... + 451124.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^105084864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162260280).

105084864 is an abundant number, since it is smaller than the sum of its proper divisors (219435696).

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

105084864 is an equidigital number, since it uses as much as digits as its factorization.

105084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 105084864 is about 10251.0908687807. The cubic root of 105084864 is about 471.8964629742.

The spelling of 105084864 in words is "one hundred five million, eighty-four thousand, eight hundred sixty-four".