105118072 has 32 divisors (see below), whose sum is σ = 209368800. Its totient is φ = 49306624.

The previous prime is 105118063. The next prime is 105118081. The reversal of 105118072 is 270811501.

It is an interprime number because it is at equal distance from previous prime (105118063) and next prime (105118081).

It is a super-2 number, since 2×105118072² = 22099618121994368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47748 + ... + 49900.

It is an arithmetic number, because the mean of its divisors is an integer number (6542775).

Almost surely, 2^105118072 is an apocalyptic number.

It is an amenable number.

105118072 is a deficient number, since it is larger than the sum of its proper divisors (104250728).

105118072 is a wasteful number, since it uses less digits than its factorization.

105118072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 105118072 is about 10252.7104708950. The cubic root of 105118072 is about 471.9461659372.

Adding to 105118072 its reverse (270811501), we get a palindrome (375929573).

The spelling of 105118072 in words is "one hundred five million, one hundred eighteen thousand, seventy-two".