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106000010660616 = 23310961965460229
BaseRepresentation
bin11000000110100000001100…
…111110110100101100001000
3111220022111112222220200210120
4120012200030332310230020
5102343201010212114431
61013235422130143240
731220151036234102
oct3006401476645410
9456274488820716
10106000010660616
1130858396670056
12ba7b619121b20
13471b9b17691a7
141c265dc1b8572
15c3c484661196
hex60680cfb4b08

106000010660616 has 64 divisors (see below), whose sum is σ = 267863261160000. Its totient is φ = 34952619661056.

The previous prime is 106000010660611. The next prime is 106000010660627. The reversal of 106000010660616 is 616066010000601.

It is a super-2 number, since 2×1060000106606162 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000010660611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31110811 + ... + 34349418.

It is an arithmetic number, because the mean of its divisors is an integer number (4185363455625).

Almost surely, 2106000010660616 is an apocalyptic number.

It is an amenable number.

106000010660616 is an abundant number, since it is smaller than the sum of its proper divisors (161863250499384).

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

106000010660616 is a wasteful number, since it uses less digits than its factorization.

106000010660616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65460966 (or 65460962 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 106000010660616 in words is "one hundred six trillion, ten million, six hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 619 654 872 1238 1308 1857 2476 2616 3714 4952 7428 14856 67471 134942 202413 269884 404826 539768 809652 1619304 65460229 130920458 196380687 261840916 392761374 523681832 785522748 1571045496 7135164961 14270329922 21405494883 28540659844 40519881751 42810989766 57081319688 81039763502 85621979532 121559645253 162079527004 171243959064 243119290506 324159054008 486238581012 972477162024 4416667110859 8833334221718 13250001332577 17666668443436 26500002665154 35333336886872 53000005330308 106000010660616