105747621 has 32 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 58605120.

The previous prime is 105747617. The next prime is 105747623. The reversal of 105747621 is 126747501.

It is not a de Polignac number, because 105747621 - 2² = 105747617 is a prime.

It is a super-2 number, since 2×105747621² = 22365118694319282, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105747623) 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 31 ways as a sum of consecutive naturals, for example, 163120 + ... + 163766.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2^105747621 is an apocalyptic number.

It is an amenable number.

105747621 is a deficient number, since it is larger than the sum of its proper divisors (60306267).

105747621 is a wasteful number, since it uses less digits than its factorization.

105747621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 105747621 is about 10283.3662290128. The cubic root of 105747621 is about 472.8864484934.

The spelling of 105747621 in words is "one hundred five million, seven hundred forty-seven thousand, six hundred twenty-one".