105096384 has 84 divisors (see below), whose sum is σ = 314376816. Its totient is φ = 33504768.

The previous prime is 105096379. The next prime is 105096419. The reversal of 105096384 is 483690501.

105096384 is a `hidden beast` number, since 10 + 5 + 0 + 9 + 638 + 4 = 666.

It is a super-2 number, since 2×105096384² = 22090499859750912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9282 + ... + 17214.

Almost surely, 2^105096384 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 105096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157188408).

105096384 is an abundant number, since it is smaller than the sum of its proper divisors (209280432).

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

105096384 is a wasteful number, since it uses less digits than its factorization.

105096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105096384 is about 10251.6527448017. The cubic root of 105096384 is about 471.9137063348.

The spelling of 105096384 in words is "one hundred five million, ninety-six thousand, three hundred eighty-four".