105199276 has 144 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 37739520.

The previous prime is 105199261. The next prime is 105199331. The reversal of 105199276 is 672991501.

It is a super-2 number, since 2×105199276² = 22133775341848352, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1984866 + ... + 1984918.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^105199276 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 105199276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

105199276 is an abundant number, since it is smaller than the sum of its proper divisors (148181684).

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

105199276 is a wasteful number, since it uses less digits than its factorization.

105199276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 105199276 is about 10256.6698299204. The cubic root of 105199276 is about 472.0676612282.

The spelling of 105199276 in words is "one hundred five million, one hundred ninety-nine thousand, two hundred seventy-six".