Search a number
-
+
106425614153 = 6531085315017
BaseRepresentation
bin110001100011101110…
…1011111111101001001
3101011200222120100210002
41203013131133331021
53220424424123103
6120520302132345
710455216536315
oct1430735377511
9334628510702
10106425614153
1141153537121
12187618810b5
13a060b176b1
1452185c0b45
152b7d3e5488
hex18c775ff49

106425614153 has 8 divisors (see below), whose sum is σ = 106605513288. Its totient is φ = 106245768064.

The previous prime is 106425614123. The next prime is 106425614159. The reversal of 106425614153 is 351416524601.

It can be written as a sum of positive squares in 4 ways, for example, as 3761123584 + 102664490569 = 61328^2 + 320413^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106425614153 - 218 = 106425352009 is a prime.

It is a super-2 number, since 2×1064256141532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106425614159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7079501 + ... + 7094517.

It is an arithmetic number, because the mean of its divisors is an integer number (13325689161).

Almost surely, 2106425614153 is an apocalyptic number.

It is an amenable number.

106425614153 is a deficient number, since it is larger than the sum of its proper divisors (179899135).

106425614153 is a wasteful number, since it uses less digits than its factorization.

106425614153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26523.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 106425614153 in words is "one hundred six billion, four hundred twenty-five million, six hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 653 10853 15017 7087009 9806101 162979501 106425614153