105963456 has 112 divisors (see below), whose sum is σ = 304962560. Its totient is φ = 32348160.

The previous prime is 105963409. The next prime is 105963463. The reversal of 105963456 is 654369501.

It is a super-2 number, since 2×105963456² = 22456508014927872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112620 + ... + 113556.

It is an arithmetic number, because the mean of its divisors is an integer number (2722880).

Almost surely, 2^105963456 is an apocalyptic number.

105963456 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 105963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152481280).

105963456 is an abundant number, since it is smaller than the sum of its proper divisors (198999104).

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

105963456 is a wasteful number, since it uses less digits than its factorization.

105963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 105963456 is about 10293.8552544710. The cubic root of 105963456 is about 473.2079563894.

The spelling of 105963456 in words is "one hundred five million, nine hundred sixty-three thousand, four hundred fifty-six".