105611296 has 96 divisors (see below), whose sum is σ = 250048512. Its totient is φ = 42958080.

The previous prime is 105611287. The next prime is 105611309. The reversal of 105611296 is 692116501.

It is a super-2 number, since 2×105611296² = 22307491685599232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 465135 + ... + 465361.

It is an arithmetic number, because the mean of its divisors is an integer number (2604672).

Almost surely, 2^105611296 is an apocalyptic number.

105611296 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 105611296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256).

105611296 is an abundant number, since it is smaller than the sum of its proper divisors (144437216).

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

105611296 is a wasteful number, since it uses less digits than its factorization.

105611296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 105611296 is about 10276.7356684893. The cubic root of 105611296 is about 472.6831532431.

Adding to 105611296 its reverse (692116501), we get a palindrome (797727797).

The spelling of 105611296 in words is "one hundred five million, six hundred eleven thousand, two hundred ninety-six".