105921630 has 48 divisors (see below), whose sum is σ = 284899680. Its totient is φ = 27271104.

The previous prime is 105921623. The next prime is 105921631. The reversal of 105921630 is 36129501.

105921630 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 21 + 630 = 666.

It is a super-2 number, since 2×105921630² = 22438783403713800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105921594 and 105921603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105921631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682 + ... + 22901.

It is an arithmetic number, because the mean of its divisors is an integer number (5935410).

Almost surely, 2^105921630 is an apocalyptic number.

105921630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105921630 is an abundant number, since it is smaller than the sum of its proper divisors (178978050).

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

105921630 is a wasteful number, since it uses less digits than its factorization.

105921630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40625 (or 40622 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105921630 is about 10291.8234535965. The cubic root of 105921630 is about 473.1456864916.

The spelling of 105921630 in words is "one hundred five million, nine hundred twenty-one thousand, six hundred thirty".