105058296 has 320 divisors, whose sum is σ = 376358400. Its totient is φ = 26687232.

The previous prime is 105058279. The next prime is 105058307. The reversal of 105058296 is 692850501.

It is a happy number.

It is a super-2 number, since 2×105058296² = 22074491116847232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105058296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1982206 + ... + 1982258.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^105058296 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 105058296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

105058296 is an abundant number, since it is smaller than the sum of its proper divisors (271300104).

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

105058296 is a wasteful number, since it uses less digits than its factorization.

105058296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105058296 is about 10249.7949247778. The cubic root of 105058296 is about 471.8566906686.

The spelling of 105058296 in words is "one hundred five million, fifty-eight thousand, two hundred ninety-six".