105000976 has 40 divisors (see below), whose sum is σ = 218048544. Its totient is φ = 48806400.

The previous prime is 105000971. The next prime is 105000979. The reversal of 105000976 is 679000501.

It is a happy number.

It is a super-2 number, since 2×105000976² = 22050409921905152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20251 + ... + 24901.

Almost surely, 2^105000976 is an apocalyptic number.

105000976 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 105000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109024272).

105000976 is an abundant number, since it is smaller than the sum of its proper divisors (113047568).

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

105000976 is a wasteful number, since it uses less digits than its factorization.

105000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 105000976 is about 10246.9983897725. The cubic root of 105000976 is about 471.7708597634.

The spelling of 105000976 in words is "one hundred five million, nine hundred seventy-six", and thus it is an aban number.