105016623 has 8 divisors (see below), whose sum is σ = 144539136. Its totient is φ = 67752600.

The previous prime is 105016609. The next prime is 105016631. The reversal of 105016623 is 326610501.

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

It is not a de Polignac number, because 105016623 - 2¹⁴ = 105000239 is a prime.

It is a super-2 number, since 2×105016623² = 22056982212648258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105016593 and 105016602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016603) 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, 564513 + ... + 564698.

It is an arithmetic number, because the mean of its divisors is an integer number (18067392).

Almost surely, 2^105016623 is an apocalyptic number.

105016623 is a deficient number, since it is larger than the sum of its proper divisors (39522513).

105016623 is a wasteful number, since it uses less digits than its factorization.

105016623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129245.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105016623 is about 10247.7618532048. The cubic root of 105016623 is about 471.7942926631.

The spelling of 105016623 in words is "one hundred five million, sixteen thousand, six hundred twenty-three".