105112356 has 96 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 32148480.

The previous prime is 105112349. The next prime is 105112361. The reversal of 105112356 is 653211501.

It is a super-2 number, since 2×105112356² = 22097214767741472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756135 + ... + 756273.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^105112356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105112356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

105112356 is an abundant number, since it is smaller than the sum of its proper divisors (161604444).

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

105112356 is a wasteful number, since it uses less digits than its factorization.

105112356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105112356 is about 10252.4317115502. The cubic root of 105112356 is about 471.9376114513.

Adding to 105112356 its reverse (653211501), we get a palindrome (758323857).

The spelling of 105112356 in words is "one hundred five million, one hundred twelve thousand, three hundred fifty-six".