105112071 has 12 divisors (see below), whose sum is σ = 160759872. Its totient is φ = 65952576.

The previous prime is 105112031. The next prime is 105112087. The reversal of 105112071 is 170211501.

It is a happy number.

It is not a de Polignac number, because 105112071 - 2⁷ = 105111943 is a prime.

It is a super-2 number, since 2×105112071² = 22097094939818082, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343351 + ... + 343656.

It is an arithmetic number, because the mean of its divisors is an integer number (13396656).

Almost surely, 2^105112071 is an apocalyptic number.

105112071 is a deficient number, since it is larger than the sum of its proper divisors (55647801).

105112071 is a wasteful number, since it uses less digits than its factorization.

105112071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687030 (or 687027 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 105112071 is about 10252.4178123992. The cubic root of 105112071 is about 471.9371849162.

Adding to 105112071 its reverse (170211501), we get a palindrome (275323572).

The spelling of 105112071 in words is "one hundred five million, one hundred twelve thousand, seventy-one".