106589373 has 32 divisors (see below), whose sum is σ = 166717440. Its totient is φ = 59880960.

The previous prime is 106589369. The next prime is 106589401. The reversal of 106589373 is 373985601.

It is not a de Polignac number, because 106589373 - 2² = 106589369 is a prime.

It is a super-2 number, since 2×106589373² = 22722588873066258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106589363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27661 + ... + 31277.

It is an arithmetic number, because the mean of its divisors is an integer number (5209920).

Almost surely, 2^106589373 is an apocalyptic number.

It is an amenable number.

106589373 is a deficient number, since it is larger than the sum of its proper divisors (60128067).

106589373 is a wasteful number, since it uses less digits than its factorization.

106589373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 106589373 is about 10324.2129482106. The cubic root of 106589373 is about 474.1378606993.

The spelling of 106589373 in words is "one hundred six million, five hundred eighty-nine thousand, three hundred seventy-three".