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106104860511 = 31317227705011
BaseRepresentation
bin110001011010001010…
…1111010111101011111
3101010212122000101111120
41202310111322331133
53214300321014021
6120424403222023
710444243301436
oct1426425727537
9333778011446
10106104860511
1140aa9478171
1218692377913
13a00c531440
1451c7b6811d
152b601872c6
hex18b457af5f

106104860511 has 32 divisors (see below), whose sum is σ = 162028677888. Its totient is φ = 61183587840.

The previous prime is 106104860417. The next prime is 106104860551. The reversal of 106104860511 is 115068401601.

It is not a de Polignac number, because 106104860511 - 211 = 106104858463 is a prime.

It is a super-2 number, since 2×1061048605112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106104860551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202005 + ... + 503006.

It is an arithmetic number, because the mean of its divisors is an integer number (5063396184).

Almost surely, 2106104860511 is an apocalyptic number.

106104860511 is a deficient number, since it is larger than the sum of its proper divisors (55923817377).

106104860511 is a wasteful number, since it uses less digits than its factorization.

106104860511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705271.

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 106104860511 in words is "one hundred six billion, one hundred four million, eight hundred sixty thousand, five hundred eleven".

Divisors: 1 3 13 17 39 51 221 227 663 681 2951 3859 8853 11577 50167 150501 705011 2115033 9165143 11985187 27495429 35955561 155807431 160037497 467422293 480112491 2080487461 2720637449 6241462383 8161912347 35368286837 106104860511