105417621 has 12 divisors (see below), whose sum is σ = 154356748. Its totient is φ = 69315264.

The previous prime is 105417617. The next prime is 105417647. The reversal of 105417621 is 126714501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24147396 + 81270225 = 4914^2 + 9015^2 .

It is not a de Polignac number, because 105417621 - 2² = 105417617 is a prime.

It is a super-2 number, since 2×105417621² = 22225749634599282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105417661) 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, 79570 + ... + 80883.

Almost surely, 2^105417621 is an apocalyptic number.

It is an amenable number.

105417621 is a deficient number, since it is larger than the sum of its proper divisors (48939127).

105417621 is a wasteful number, since it uses less digits than its factorization.

105417621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160532 (or 160529 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105417621 is about 10267.3083619808. The cubic root of 105417621 is about 472.3940335141.

The spelling of 105417621 in words is "one hundred five million, four hundred seventeen thousand, six hundred twenty-one".