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106457636 = 2210122609
BaseRepresentation
bin1100101100001…
…10101000100100
321102022121102102
412112012220210
5204223121021
614321431232
72431606055
oct626065044
9242277372
10106457636
115510221a
122b79b518
1319094bac
14101d272c
15952d00b
hex6586a24

106457636 has 18 divisors (see below), whose sum is σ = 188235810. Its totient is φ = 52681600.

The previous prime is 106457633. The next prime is 106457647. The reversal of 106457636 is 636754601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72352036 + 34105600 = 8506^2 + 5840^2 .

It is a super-2 number, since 2×1064576362 = 22666456525416992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106457636.

It is not an unprimeable number, because it can be changed into a prime (106457633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39500 + ... + 42108.

It is an arithmetic number, because the mean of its divisors is an integer number (10457545).

Almost surely, 2106457636 is an apocalyptic number.

It is an amenable number.

106457636 is a deficient number, since it is larger than the sum of its proper divisors (81778174).

106457636 is a wasteful number, since it uses less digits than its factorization.

106457636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 106457636 is about 10317.8309736107. The cubic root of 106457636 is about 473.9424464413.

It can be divided in two parts, 10645 and 7636, that added together give a palindrome (18281).

The spelling of 106457636 in words is "one hundred six million, four hundred fifty-seven thousand, six hundred thirty-six".

Divisors: 1 2 4 101 202 404 2609 5218 10201 10436 20402 40804 263509 527018 1054036 26614409 53228818 106457636