105226761 has 24 divisors (see below), whose sum is σ = 146746080. Its totient is φ = 67064704.

The previous prime is 105226733. The next prime is 105226777. The reversal of 105226761 is 167622501.

It is not a de Polignac number, because 105226761 - 2⁵ = 105226729 is a prime.

It is a super-2 number, since 2×105226761² = 22145342461102242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105226061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451501 + ... + 451733.

It is an arithmetic number, because the mean of its divisors is an integer number (6114420).

Almost surely, 2^105226761 is an apocalyptic number.

It is an amenable number.

105226761 is a deficient number, since it is larger than the sum of its proper divisors (41519319).

105226761 is a wasteful number, since it uses less digits than its factorization.

105226761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105226761 is about 10258.0096022572. The cubic root of 105226761 is about 472.1087694004.

The spelling of 105226761 in words is "one hundred five million, two hundred twenty-six thousand, seven hundred sixty-one".