105299712 has 108 divisors (see below), whose sum is σ = 347030320. Its totient is φ = 30081024.

The previous prime is 105299657. The next prime is 105299731. The reversal of 105299712 is 217992501.

It is a super-2 number, since 2×105299712² = 22176058694565888, which contains 22 as substring.

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

It is a congruent number.

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, 12864 + ... + 19392.

Almost surely, 2^105299712 is an apocalyptic number.

105299712 is a gapful number since it is divisible by the number (12) 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 105299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173515160).

105299712 is an abundant number, since it is smaller than the sum of its proper divisors (241730608).

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

105299712 is an equidigital number, since it uses as much as digits as its factorization.

105299712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105299712 is about 10261.5647929543. The cubic root of 105299712 is about 472.2178444767.

The spelling of 105299712 in words is "one hundred five million, two hundred ninety-nine thousand, seven hundred twelve".