Search a number
-
+
106535106535 = 511131011499901
BaseRepresentation
bin110001100110111111…
…1001011011111100111
3101011222121121011002111
41203031333023133213
53221140441402120
6120535213021451
710461016315144
oct1431577133747
9334877534074
10106535106535
11411aa3213a0
1218792484887
13a07a7029a0
145228d633cb
152b87d2275a
hex18cdfcb7e7

106535106535 has 64 divisors (see below), whose sum is σ = 152712604800. Its totient is φ = 70329600000.

The previous prime is 106535106479. The next prime is 106535106599. The reversal of 106535106535 is 535601535601.

It is a happy number.

It is not a de Polignac number, because 106535106535 - 27 = 106535106407 is a prime.

It is a super-2 number, since 2×1065351065352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10755085 + ... + 10764985.

It is an arithmetic number, because the mean of its divisors is an integer number (2386134450).

Almost surely, 2106535106535 is an apocalyptic number.

106535106535 is a deficient number, since it is larger than the sum of its proper divisors (46177498265).

106535106535 is a wasteful number, since it uses less digits than its factorization.

106535106535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180.

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 106535106535 in words is "one hundred six billion, five hundred thirty-five million, one hundred six thousand, five hundred thirty-five".

Divisors: 1 5 11 13 55 65 101 143 149 505 715 745 1111 1313 1639 1937 5555 6565 8195 9685 9901 14443 15049 21307 49505 72215 75245 106535 108911 128713 165539 195637 544555 643565 827695 978185 1000001 1415843 1475249 2152007 5000005 7079215 7376245 10760035 11000011 13000013 16227739 19178237 55000055 65000065 81138695 95891185 143000143 149000149 210960607 715000715 745000745 1054803035 1639001639 1937001937 8195008195 9685009685 21307021307 106535106535