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106515830610006 = 23476531567369133
BaseRepresentation
bin11000001110000000100110…
…001111110001100001010110
3111222010210222101011002211120
4120032000212033301201112
5102430123410114010011
61014312410321544410
731302341402405046
oct3016004617614126
9458123871132746
10106515830610006
1130a37123576694
12bb435941a5106
13475852727c25c
141c435724a1726
15c4aac4071a06
hex60e0263f1856

106515830610006 has 64 divisors (see below), whose sum is σ = 218037070798848. Its totient is φ = 34674393748608.

The previous prime is 106515830609987. The next prime is 106515830610047. The reversal of 106515830610006 is 600016038515601.

It is a super-2 number, since 2×1065158306100062 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106515830610006.

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, 288372216 + ... + 288741348.

It is an arithmetic number, because the mean of its divisors is an integer number (3406829231232).

Almost surely, 2106515830610006 is an apocalyptic number.

106515830610006 is an abundant number, since it is smaller than the sum of its proper divisors (111521240188842).

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

106515830610006 is a wasteful number, since it uses less digits than its factorization.

106515830610006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371405.

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 106515830610006 in words is "one hundred six trillion, five hundred fifteen billion, eight hundred thirty million, six hundred ten thousand, six".

Divisors: 1 2 3 6 47 94 141 282 653 1306 1567 1959 3134 3918 4701 9402 30691 61382 73649 92073 147298 184146 220947 369133 441894 738266 1023251 1107399 2046502 2214798 3069753 6139506 17349251 34698502 48092797 52047753 96185594 104095506 144278391 241043849 288556782 482087698 578431411 723131547 1156862822 1446263094 1735294233 3470588466 11329060903 22658121806 27186276317 33987182709 54372552634 67974365418 81558828951 163117657902 377715711383 755431422766 1133147134149 2266294268298 17752638435001 35505276870002 53257915305003 106515830610006