105986496 has 224 divisors, whose sum is σ = 358152192. Its totient is φ = 26864640.

The previous prime is 105986431. The next prime is 105986501. The reversal of 105986496 is 694689501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105986496² = 22466274668716032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990475 + ... + 990581.

Almost surely, 2^105986496 is an apocalyptic number.

105986496 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 105986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179076096).

105986496 is an abundant number, since it is smaller than the sum of its proper divisors (252165696).

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

105986496 is a wasteful number, since it uses less digits than its factorization.

105986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 105986496 is about 10294.9743078844. The cubic root of 105986496 is about 473.2422509837.

The spelling of 105986496 in words is "one hundred five million, nine hundred eighty-six thousand, four hundred ninety-six".