105083001 has 45 divisors (see below), whose sum is σ = 169278879. Its totient is φ = 64950336.

The previous prime is 105082993. The next prime is 105083009. The reversal of 105083001 is 100380501.

It is a happy number.

The square root of 105083001 is 10251.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (105082993) and next prime (105083009).

It can be written as a sum of positive squares in only one way, i.e., 81812025 + 23270976 = 9045^2 + 4824^2 .

It is not a de Polignac number, because 105083001 - 2³ = 105082993 is a prime.

It is a super-2 number, since 2×105083001² = 22084874198332002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105083009) 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 44 ways as a sum of consecutive naturals, for example, 1568370 + ... + 1568436.

Almost surely, 2^105083001 is an apocalyptic number.

105083001 is the 10251-st square number.

105083001 is the 5126-th centered octagonal number.

It is an amenable number.

105083001 is a deficient number, since it is larger than the sum of its proper divisors (64195878).

105083001 is an frugal number, since it uses more digits than its factorization.

105083001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The cubic root of 105083001 is about 471.8936742811.

The spelling of 105083001 in words is "one hundred five million, eighty-three thousand, one".