Search a number
-
+
106357653 = 3211817517
BaseRepresentation
bin1100101011011…
…10001110010101
321102010112021100
412111232032111
5204211421103
614315340313
72431011423
oct625561625
9242115240
10106357653
1155044096
122b751699
131905b52c
14101a8113
15950d5a3
hex656e395

106357653 has 6 divisors (see below), whose sum is σ = 153627734. Its totient is φ = 70905096.

The previous prime is 106357613. The next prime is 106357711. The reversal of 106357653 is 356753601.

It is a happy number.

106357653 is a `hidden beast` number, since 10 + 635 + 7 + 6 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58706244 + 47651409 = 7662^2 + 6903^2 .

It is not a de Polignac number, because 106357653 - 213 = 106349461 is a prime.

It is a super-4 number, since 4×1063576534 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5908750 + ... + 5908767.

Almost surely, 2106357653 is an apocalyptic number.

It is an amenable number.

106357653 is a deficient number, since it is larger than the sum of its proper divisors (47270081).

106357653 is a wasteful number, since it uses less digits than its factorization.

106357653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817523 (or 11817520 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 106357653 is about 10312.9846795193. The cubic root of 106357653 is about 473.7940273709.

The spelling of 106357653 in words is "one hundred six million, three hundred fifty-seven thousand, six hundred fifty-three".

Divisors: 1 3 9 11817517 35452551 106357653