105506051 has 8 divisors (see below), whose sum is σ = 124468224. Its totient is φ = 87516360.

The previous prime is 105506021. The next prime is 105506053. The reversal of 105506051 is 150605501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105506051 - 2²⁶ = 38397187 is a prime.

It is a super-3 number, since 3×105506051³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105506053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242885 + ... + 243318.

It is an arithmetic number, because the mean of its divisors is an integer number (15558528).

Almost surely, 2^105506051 is an apocalyptic number.

105506051 is a deficient number, since it is larger than the sum of its proper divisors (18962173).

105506051 is an equidigital number, since it uses as much as digits as its factorization.

105506051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486241.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105506051 is about 10271.6138459348. The cubic root of 105506051 is about 472.5260864819.

The spelling of 105506051 in words is "one hundred five million, five hundred six thousand, fifty-one".