105072027 has 16 divisors (see below), whose sum is σ = 146434560. Its totient is φ = 66889152.

The previous prime is 105072001. The next prime is 105072041. The reversal of 105072027 is 720270501.

It is not a de Polignac number, because 105072027 - 2⁶ = 105071963 is a prime.

It is a super-2 number, since 2×105072027² = 22080261715777458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105071988 and 105072006.

It is not an unprimeable number, because it can be changed into a prime (105072047) 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 15 ways as a sum of consecutive naturals, for example, 62583 + ... + 64239.

It is an arithmetic number, because the mean of its divisors is an integer number (9152160).

Almost surely, 2^105072027 is an apocalyptic number.

105072027 is a deficient number, since it is larger than the sum of its proper divisors (41362533).

105072027 is a wasteful number, since it uses less digits than its factorization.

105072027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105072027 is about 10250.4647211724. The cubic root of 105072027 is about 471.8772468177.

The spelling of 105072027 in words is "one hundred five million, seventy-two thousand, twenty-seven".