Search a number
-
+
106036637 = 722164013
BaseRepresentation
bin1100101000111…
…11110110011101
321101112012220212
412110133312131
5204121133022
614304422205
72425203500
oct624376635
9241465825
10106036637
1154944993
122b617965
1318c78395
1410123137
1594983e2
hex651fd9d

106036637 has 6 divisors (see below), whose sum is σ = 123348798. Its totient is φ = 90888504.

The previous prime is 106036631. The next prime is 106036649. The reversal of 106036637 is 736630601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 1301881 = 10234^2 + 1141^2 .

It is not a de Polignac number, because 106036637 - 222 = 101842333 is a prime.

It is a super-2 number, since 2×1060366372 = 22487536772539538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106036631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1081958 + ... + 1082055.

It is an arithmetic number, because the mean of its divisors is an integer number (20558133).

Almost surely, 2106036637 is an apocalyptic number.

It is an amenable number.

106036637 is a deficient number, since it is larger than the sum of its proper divisors (17312161).

106036637 is an equidigital number, since it uses as much as digits as its factorization.

106036637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164027 (or 2164020 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 106036637 is about 10297.4092372791. The cubic root of 106036637 is about 473.3168677183.

The spelling of 106036637 in words is "one hundred six million, thirty-six thousand, six hundred thirty-seven".

Divisors: 1 7 49 2164013 15148091 106036637