Search a number
-
+
106610553 = 3371733181
BaseRepresentation
bin1100101101010…
…11111101111001
321102121101012000
412112223331321
5204243014203
614325011213
72433113640
oct626537571
9242541160
10106610553
11551a70a5
122b853b09
131911968a
1410232357
15955d4a3
hex65abf79

106610553 has 32 divisors (see below), whose sum is σ = 191128320. Its totient is φ = 57335040.

The previous prime is 106610549. The next prime is 106610561. The reversal of 106610553 is 355016601.

It is a happy number.

106610553 is a `hidden beast` number, since 106 + 6 + 1 + 0 + 553 = 666.

It is not a de Polignac number, because 106610553 - 22 = 106610549 is a prime.

It is a super-2 number, since 2×1066105532 = 22731620021931618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106610503) 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, 13378 + ... + 19803.

It is an arithmetic number, because the mean of its divisors is an integer number (5972760).

Almost surely, 2106610553 is an apocalyptic number.

It is an amenable number.

106610553 is a deficient number, since it is larger than the sum of its proper divisors (84517767).

106610553 is a wasteful number, since it uses less digits than its factorization.

106610553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33214 (or 33208 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106610553 is about 10325.2386413099. The cubic root of 106610553 is about 474.1692633759.

The spelling of 106610553 in words is "one hundred six million, six hundred ten thousand, five hundred fifty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 33181 99543 232267 298629 564077 696801 895887 1692231 2090403 3948539 5076693 6271209 11845617 15230079 35536851 106610553