105072396 has 48 divisors (see below), whose sum is σ = 288035328. Its totient is φ = 29390400.

The previous prime is 105072377. The next prime is 105072397. The reversal of 105072396 is 693270501.

It is a super-2 number, since 2×105072396² = 22080416802361632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105072397) 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, 28900 + ... + 32331.

It is an arithmetic number, because the mean of its divisors is an integer number (6000736).

Almost surely, 2^105072396 is an apocalyptic number.

It is an amenable number.

105072396 is an abundant number, since it is smaller than the sum of its proper divisors (182962932).

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

105072396 is a wasteful number, since it uses less digits than its factorization.

105072396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61262 (or 61260 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105072396 is about 10250.4827203405. The cubic root of 105072396 is about 471.8777992086.

The spelling of 105072396 in words is "one hundred five million, seventy-two thousand, three hundred ninety-six".