105394320 has 60 divisors (see below), whose sum is σ = 353951676. Its totient is φ = 28104960.

The previous prime is 105394291. The next prime is 105394343. The reversal of 105394320 is 23493501.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 93779856 = 3408^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105394320² = 22215925376524800, which contains 22 as substring.

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, 72471 + ... + 73910.

Almost surely, 2^105394320 is an apocalyptic number.

105394320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105394320 is an abundant number, since it is smaller than the sum of its proper divisors (248557356).

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

105394320 is a wasteful number, since it uses less digits than its factorization.

105394320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146400 (or 146391 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105394320 is about 10266.1735812327. The cubic root of 105394320 is about 472.3592257203.

The spelling of 105394320 in words is "one hundred five million, three hundred ninety-four thousand, three hundred twenty".