Search a number
-
+
106669513925 = 52131395094639
BaseRepresentation
bin110001101010111111…
…1111001110011000101
3101012022222111202100222
41203111333321303011
53221424343421200
6121000413514125
710464240623342
oct1432577716305
9335288452328
10106669513925
1141269183687
121880b4a2945
13a09c5025a0
14523cb4d7c9
152b94a21d85
hex18d5ff9cc5

106669513925 has 48 divisors (see below), whose sum is σ = 143782464000. Its totient is φ = 78034164480.

The previous prime is 106669513859. The next prime is 106669513933. The reversal of 106669513925 is 529315966601.

It is not a de Polignac number, because 106669513925 - 218 = 106669251781 is a prime.

It is a super-2 number, since 2×1066695139252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22991756 + ... + 22996394.

It is an arithmetic number, because the mean of its divisors is an integer number (2995468000).

Almost surely, 2106669513925 is an apocalyptic number.

It is an amenable number.

106669513925 is a deficient number, since it is larger than the sum of its proper divisors (37112950075).

106669513925 is a wasteful number, since it uses less digits than its factorization.

106669513925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 53.

The spelling of 106669513925 in words is "one hundred six billion, six hundred sixty-nine million, five hundred thirteen thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 65 139 325 509 695 1807 2545 3475 4639 6617 9035 12725 23195 33085 45175 60307 70751 115975 165425 301535 353755 644821 919763 1507675 1768775 2361251 3224105 4598815 8382673 11806255 16120525 22994075 30696263 41913365 59031275 153481315 209566825 328213889 767406575 1641069445 4266780557 8205347225 21333902785 106669513925