Search a number
-
+
106355457 = 3313303007
BaseRepresentation
bin1100101011011…
…01101100000001
321102010102021000
412111231230001
5204211333312
614315322213
72431002135
oct625555401
9242112230
10106355457
115504247a
122b750369
131905a530
14101a73c5
15950cadc
hex656db01

106355457 has 16 divisors (see below), whose sum is σ = 169684480. Its totient is φ = 65449296.

The previous prime is 106355437. The next prime is 106355461. The reversal of 106355457 is 754553601.

106355457 is a `hidden beast` number, since 10 + 635 + 5 + 4 + 5 + 7 = 666.

It is not a de Polignac number, because 106355457 - 26 = 106355393 is a prime.

It is a super-2 number, since 2×1063554572 = 22622966467357698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106355437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151153 + ... + 151854.

It is an arithmetic number, because the mean of its divisors is an integer number (10605280).

Almost surely, 2106355457 is an apocalyptic number.

It is an amenable number.

106355457 is a deficient number, since it is larger than the sum of its proper divisors (63329023).

106355457 is a wasteful number, since it uses less digits than its factorization.

106355457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303029 (or 303023 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 106355457 is about 10312.8782112464. The cubic root of 106355457 is about 473.7907664903.

It can be divided in two parts, 1063554 and 57, that added together give a triangular number (1063611 = T1458).

The spelling of 106355457 in words is "one hundred six million, three hundred fifty-five thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 351 303007 909021 2727063 3939091 8181189 11817273 35451819 106355457