105312399 has 8 divisors (see below), whose sum is σ = 148676400. Its totient is φ = 66078336.

The previous prime is 105312391. The next prime is 105312401. The reversal of 105312399 is 993213501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105312399 - 2³ = 105312391 is a prime.

It is a super-2 number, since 2×105312399² = 22181402766270402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032424 + ... + 1032525.

It is an arithmetic number, because the mean of its divisors is an integer number (18584550).

Almost surely, 2^105312399 is an apocalyptic number.

105312399 is a deficient number, since it is larger than the sum of its proper divisors (43364001).

105312399 is a wasteful number, since it uses less digits than its factorization.

105312399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064969.

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 105312399 is about 10262.1829549078. The cubic root of 105312399 is about 472.2368087172.

The spelling of 105312399 in words is "one hundred five million, three hundred twelve thousand, three hundred ninety-nine".