105351873 has 16 divisors (see below), whose sum is σ = 162254016. Its totient is φ = 60093440.

The previous prime is 105351833. The next prime is 105351887. The reversal of 105351873 is 378153501.

It is not a de Polignac number, because 105351873 - 2¹⁰ = 105350849 is a prime.

It is a super-2 number, since 2×105351873² = 22198034289216258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105351823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93336 + ... + 94457.

It is an arithmetic number, because the mean of its divisors is an integer number (10140876).

Almost surely, 2^105351873 is an apocalyptic number.

It is an amenable number.

105351873 is a deficient number, since it is larger than the sum of its proper divisors (56902143).

105351873 is a wasteful number, since it uses less digits than its factorization.

105351873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187824.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105351873 is about 10264.1060497249. The cubic root of 105351873 is about 472.2958038193.

The spelling of 105351873 in words is "one hundred five million, three hundred fifty-one thousand, eight hundred seventy-three".