106033873 has 12 divisors (see below), whose sum is σ = 117080964. Its totient is φ = 95955200.

The previous prime is 106033859. The next prime is 106033891. The reversal of 106033873 is 378330601.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 72301009 = 5808^2 + 8503^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106033873 is a prime.

It is a super-2 number, since 2×106033873² = 22486364446760258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106033853) 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, 26313 + ... + 30073.

It is an arithmetic number, because the mean of its divisors is an integer number (9756747).

Almost surely, 2^106033873 is an apocalyptic number.

It is an amenable number.

106033873 is a deficient number, since it is larger than the sum of its proper divisors (11047091).

106033873 is a wasteful number, since it uses less digits than its factorization.

106033873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 106033873 is about 10297.2750278897. The cubic root of 106033873 is about 473.3127551172.

The spelling of 106033873 in words is "one hundred six million, thirty-three thousand, eight hundred seventy-three".