105112320 has 144 divisors (see below), whose sum is σ = 346924032. Its totient is φ = 27095040.

The previous prime is 105112307. The next prime is 105112349. The reversal of 105112320 is 23211501.

It is a super-2 number, since 2×105112320² = 22097199631564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105112320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118599 + ... + 119481.

Almost surely, 2^105112320 is an apocalyptic number.

105112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173462016).

105112320 is an abundant number, since it is smaller than the sum of its proper divisors (241811712).

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

105112320 is an equidigital number, since it uses as much as digits as its factorization.

105112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105112320 is about 10252.4299558690. The cubic root of 105112320 is about 471.9375575732.

Adding to 105112320 its reverse (23211501), we get a palindrome (128323821).

The spelling of 105112320 in words is "one hundred five million, one hundred twelve thousand, three hundred twenty".