105079296 has 160 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 28901376.

The previous prime is 105079279. The next prime is 105079309. The reversal of 105079296 is 692970501.

It is a super-2 number, since 2×105079296² = 22083316895711232, which contains 22 as substring.

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, 311640 + ... + 311976.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^105079296 is an apocalyptic number.

105079296 is a gapful number since it is divisible by the number (16) 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 105079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

105079296 is an abundant number, since it is smaller than the sum of its proper divisors (226863744).

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

105079296 is an equidigital number, since it uses as much as digits as its factorization.

105079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105079296 is about 10250.8192843304. The cubic root of 105079296 is about 471.8881282314. Note that the first 3 decimals are identical.

The spelling of 105079296 in words is "one hundred five million, seventy-nine thousand, two hundred ninety-six".