105072996 has 48 divisors (see below), whose sum is σ = 287038080. Its totient is φ = 29287680.

The previous prime is 105072991. The next prime is 105072997. The reversal of 105072996 is 699270501.

It is a super-2 number, since 2×105072996² = 22080668976832032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105072991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11811 + ... + 18698.

It is an arithmetic number, because the mean of its divisors is an integer number (5979960).

Almost surely, 2^105072996 is an apocalyptic number.

It is an amenable number.

105072996 is an abundant number, since it is smaller than the sum of its proper divisors (181965084).

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

105072996 is a wasteful number, since it uses less digits than its factorization.

105072996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30564 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105072996 is about 10250.5119872131. The cubic root of 105072996 is about 471.8786974024.

The spelling of 105072996 in words is "one hundred five million, seventy-two thousand, nine hundred ninety-six".