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106514505102 = 23434715795563
BaseRepresentation
bin110001100110011000…
…0100101110110001110
3101011221011211111020110
41203030300211312032
53221120203130402
6120533155300450
710460346232515
oct1431460456616
9334834744213
10106514505102
1141199730215
12187875aa726
13a07636b8a5
14522631d67c
152b8610356c
hex18ccc25d8e

106514505102 has 64 divisors (see below), whose sum is σ = 222802145280. Its totient is φ = 33913694304.

The previous prime is 106514505089. The next prime is 106514505137. The reversal of 106514505102 is 201505415601.

106514505102 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065145051022 (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 106514505102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19144173 + ... + 19149735.

It is an arithmetic number, because the mean of its divisors is an integer number (3481283520).

Almost surely, 2106514505102 is an apocalyptic number.

106514505102 is an abundant number, since it is smaller than the sum of its proper divisors (116287640178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106514505102 is a wasteful number, since it uses less digits than its factorization.

106514505102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7237.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 106514505102 in words is "one hundred six billion, five hundred fourteen million, five hundred five thousand, one hundred two".

Divisors: 1 2 3 6 43 47 86 94 129 141 258 282 1579 2021 3158 4042 4737 5563 6063 9474 11126 12126 16689 33378 67897 74213 135794 148426 203691 222639 239209 261461 407382 445278 478418 522922 717627 784383 1435254 1568766 3191159 6382318 8783977 9573477 11242823 17567954 19146954 22485646 26351931 33728469 52703862 67456938 377711011 412846919 755422022 825693838 1133133033 1238540757 2266266066 2477081514 17752417517 35504835034 53257252551 106514505102