105188072 has 32 divisors (see below), whose sum is σ = 215809920. Its totient is φ = 47667840.

The previous prime is 105188071. The next prime is 105188081. The reversal of 105188072 is 270881501.

It is a happy number.

It is a super-2 number, since 2×105188072² = 22129060982154368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105188071) 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 7 ways as a sum of consecutive naturals, for example, 30668 + ... + 33924.

It is an arithmetic number, because the mean of its divisors is an integer number (6744060).

Almost surely, 2^105188072 is an apocalyptic number.

It is an amenable number.

105188072 is an abundant number, since it is smaller than the sum of its proper divisors (110621848).

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

105188072 is a wasteful number, since it uses less digits than its factorization.

105188072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 105188072 is about 10256.1236342002. The cubic root of 105188072 is about 472.0509018167.

The spelling of 105188072 in words is "one hundred five million, one hundred eighty-eight thousand, seventy-two".