105705072 has 60 divisors (see below), whose sum is σ = 322725624. Its totient is φ = 32031360.

The previous prime is 105705053. The next prime is 105705077. The reversal of 105705072 is 270507501.

It is a super-2 number, since 2×105705072² = 22347124493050368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105705077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31783 + ... + 34950.

Almost surely, 2^105705072 is an apocalyptic number.

105705072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105705072 is an abundant number, since it is smaller than the sum of its proper divisors (217020552).

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

105705072 is a wasteful number, since it uses less digits than its factorization.

105705072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66758 (or 66749 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 105705072 is about 10281.2971944206. The cubic root of 105705072 is about 472.8230158773.

The spelling of 105705072 in words is "one hundred five million, seven hundred five thousand, seventy-two".