105463296 has 100 divisors (see below), whose sum is σ = 314903952. Its totient is φ = 35140608.

The previous prime is 105463289. The next prime is 105463297. The reversal of 105463296 is 692364501.

It is a happy number.

105463296 is a `hidden beast` number, since 10 + 5 + 4 + 632 + 9 + 6 = 666.

It is a super-2 number, since 2×105463296² = 22245013606367232, 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 105463296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105463297) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40201 + ... + 42743.

Almost surely, 2^105463296 is an apocalyptic number.

105463296 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 105463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157451976).

105463296 is an abundant number, since it is smaller than the sum of its proper divisors (209440656).

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

105463296 is an frugal number, since it uses more digits than its factorization.

105463296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 105463296 is about 10269.5324138930. The cubic root of 105463296 is about 472.4622494405.

The spelling of 105463296 in words is "one hundred five million, four hundred sixty-three thousand, two hundred ninety-six".