105100065 has 32 divisors (see below), whose sum is σ = 213538560. Its totient is φ = 48045312.

The previous prime is 105100049. The next prime is 105100109. The reversal of 105100065 is 560001501.

It is not a de Polignac number, because 105100065 - 2⁴ = 105100049 is a prime.

It is a super-2 number, since 2×105100065² = 22092047326008450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54664 + ... + 56553.

It is an arithmetic number, because the mean of its divisors is an integer number (6673080).

Almost surely, 2^105100065 is an apocalyptic number.

105100065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105100065 is an abundant number, since it is smaller than the sum of its proper divisors (108438495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105100065 is a wasteful number, since it uses less digits than its factorization.

105100065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111238 (or 111232 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105100065 is about 10251.8322752569. The cubic root of 105100065 is about 471.9192158617.

Adding to 105100065 its reverse (560001501), we get a palindrome (665101566).

The spelling of 105100065 in words is "one hundred five million, one hundred thousand, sixty-five".