105650072 has 32 divisors (see below), whose sum is σ = 218347920. Its totient is φ = 47523840.

The previous prime is 105650057. The next prime is 105650093. The reversal of 105650072 is 270056501.

It is a super-2 number, since 2×105650072² = 22323875427210368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2348 + ... + 14724.

Almost surely, 2^105650072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105650072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109173960).

105650072 is an abundant number, since it is smaller than the sum of its proper divisors (112697848).

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

105650072 is a wasteful number, since it uses less digits than its factorization.

105650072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12491 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 105650072 is about 10278.6220866418. The cubic root of 105650072 is about 472.7409959168.

The spelling of 105650072 in words is "one hundred five million, six hundred fifty thousand, seventy-two".