105219996 has 48 divisors (see below), whose sum is σ = 281111040. Its totient is φ = 30006720.

The previous prime is 105219979. The next prime is 105219997. The reversal of 105219996 is 699912501.

It is a happy number.

It is a super-2 number, since 2×105219996² = 22142495116480032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105219997) by changing a digit.

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, 68881 + ... + 70391.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2^105219996 is an apocalyptic number.

It is an amenable number.

105219996 is an abundant number, since it is smaller than the sum of its proper divisors (175891044).

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

105219996 is a wasteful number, since it uses less digits than its factorization.

105219996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 105219996 is about 10257.6798546260. The cubic root of 105219996 is about 472.0986519353.

The spelling of 105219996 in words is "one hundred five million, two hundred nineteen thousand, nine hundred ninety-six".