105348384 has 48 divisors (see below), whose sum is σ = 307268640. Its totient is φ = 35115840.

The previous prime is 105348377. The next prime is 105348427. The reversal of 105348384 is 483843501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105348384² = 22196564022822912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 7 ways as a sum of consecutive naturals, for example, 60102 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (6401430).

Almost surely, 2^105348384 is an apocalyptic number.

It is an amenable number.

105348384 is an abundant number, since it is smaller than the sum of its proper divisors (201920256).

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

105348384 is a wasteful number, since it uses less digits than its factorization.

105348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121950 (or 121936 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 105348384 is about 10263.9360870964. The cubic root of 105348384 is about 472.2905899957.

The spelling of 105348384 in words is "one hundred five million, three hundred forty-eight thousand, three hundred eighty-four".