Search a number
-
+
106010565615 = 3453112136961
BaseRepresentation
bin110001010111010111…
…0001101101111101111
3101010122001120201020000
41202232232031233233
53214102201044430
6120411154155343
710442016640263
oct1425656155757
9333561521200
10106010565615
1140a60222aa9
1218666882b53
139cc5b37646
1451b94200a3
152b56c5ce60
hex18aeb8dbef

106010565615 has 80 divisors (see below), whose sum is σ = 196353797376. Its totient is φ = 54662169600.

The previous prime is 106010565611. The next prime is 106010565637. The reversal of 106010565615 is 516565010601.

106010565615 is a `hidden beast` number, since 10 + 60 + 10 + 565 + 6 + 15 = 666.

It is not a de Polignac number, because 106010565615 - 22 = 106010565611 is a prime.

It is a super-2 number, since 2×1060105656152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106010565615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010565611) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15225735 + ... + 15232695.

Almost surely, 2106010565615 is an apocalyptic number.

106010565615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106010565615 is a deficient number, since it is larger than the sum of its proper divisors (90343231761).

106010565615 is a wasteful number, since it uses less digits than its factorization.

106010565615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106010565615 in words is "one hundred six billion, ten million, five hundred sixty-five thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1213 1395 2511 3639 4185 6065 6961 10917 12555 18195 20883 32751 34805 37603 54585 62649 98253 104415 112809 163755 187947 188015 215791 313245 338427 491265 563841 564045 647373 939735 1015281 1078955 1692135 1942119 2819205 3045843 3236865 5076405 5826357 8443693 9710595 15229215 17479071 25331079 29131785 42218465 75993237 87395355 126655395 227979711 261754483 379966185 683939133 785263449 1139898555 1308772415 2355790347 3419695665 3926317245 7067371041 11778951735 21202113123 35336855205 106010565615