106589277 has 14 divisors (see below), whose sum is σ = 159811902. Its totient is φ = 71059032.

The previous prime is 106589261. The next prime is 106589281. The reversal of 106589277 is 772985601.

It can be written as a sum of positive squares in only one way, i.e., 106378596 + 210681 = 10314^2 + 459^2 .

It is not a de Polignac number, because 106589277 - 2⁴ = 106589261 is a prime.

It is a super-2 number, since 2×106589277² = 22722547942765458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106589257) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 72378 + ... + 73835.

Almost surely, 2^106589277 is an apocalyptic number.

It is an amenable number.

106589277 is a deficient number, since it is larger than the sum of its proper divisors (53222625).

106589277 is an frugal number, since it uses more digits than its factorization.

106589277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146231 (or 146216 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106589277 is about 10324.2082989448. The cubic root of 106589277 is about 474.1377183548.

The spelling of 106589277 in words is "one hundred six million, five hundred eighty-nine thousand, two hundred seventy-seven".