105021621 has 6 divisors (see below), whose sum is σ = 151697910. Its totient is φ = 70014408.

The previous prime is 105021613. The next prime is 105021647. The reversal of 105021621 is 126120501.

105021621 is a `hidden beast` number, since 1 + 0 + 502 + 162 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101727396 + 3294225 = 10086^2 + 1815^2 .

It is not a de Polignac number, because 105021621 - 2³ = 105021613 is a prime.

It is a super-2 number, since 2×105021621² = 22059081754935282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105021594 and 105021603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105021601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5834526 + ... + 5834543.

It is an arithmetic number, because the mean of its divisors is an integer number (25282985).

Almost surely, 2^105021621 is an apocalyptic number.

It is an amenable number.

105021621 is a deficient number, since it is larger than the sum of its proper divisors (46676289).

105021621 is a wasteful number, since it uses less digits than its factorization.

105021621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669075 (or 11669072 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105021621 is about 10248.0057084293. The cubic root of 105021621 is about 471.8017771622.

The spelling of 105021621 in words is "one hundred five million, twenty-one thousand, six hundred twenty-one".