105083811 has 40 divisors (see below), whose sum is σ = 184287840. Its totient is φ = 58413312.

The previous prime is 105083801. The next prime is 105083819. The reversal of 105083811 is 118380501.

It is not a de Polignac number, because 105083811 - 2⁶ = 105083747 is a prime.

It is a super-2 number, since 2×105083811² = 22085214668567442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105083819) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18475 + ... + 23483.

It is an arithmetic number, because the mean of its divisors is an integer number (4607196).

Almost surely, 2^105083811 is an apocalyptic number.

105083811 is a deficient number, since it is larger than the sum of its proper divisors (79204029).

105083811 is an equidigital number, since it uses as much as digits as its factorization.

105083811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 105083811 is about 10251.0395082645. The cubic root of 105083811 is about 471.8948867604.

The spelling of 105083811 in words is "one hundred five million, eighty-three thousand, eight hundred eleven".