105930072 has 32 divisors (see below), whose sum is σ = 294250800. Its totient is φ = 35309952.

The previous prime is 105930061. The next prime is 105930091. The reversal of 105930072 is 270039501.

105930072 is a `hidden beast` number, since 1 + 0 + 593 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×105930072² = 22442360307850368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 244993 + ... + 245424.

Almost surely, 2^105930072 is an apocalyptic number.

105930072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105930072 is an abundant number, since it is smaller than the sum of its proper divisors (188320728).

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

105930072 is a wasteful number, since it uses less digits than its factorization.

105930072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490432 (or 490422 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105930072 is about 10292.2335768287. The cubic root of 105930072 is about 473.1582561301.

Adding to 105930072 its reverse (270039501), we get a palindrome (375969573).

The spelling of 105930072 in words is "one hundred five million, nine hundred thirty thousand, seventy-two".