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106019102985 = 3530137234527
BaseRepresentation
bin110001010111100111…
…0110010000100001001
3101010122122122110021220
41202233032302010021
53214111342243420
6120412101152253
710442152335465
oct1425716620411
9333578573256
10106019102985
1140a65024284
12186696bb689
139cc7836543
1451ba6034a5
152b57897840
hex18af3b2109

106019102985 has 16 divisors (see below), whose sum is σ = 169636916736. Its totient is φ = 56541404288.

The previous prime is 106019102951. The next prime is 106019103017. The reversal of 106019102985 is 589201910601.

It is a cyclic number.

It is not a de Polignac number, because 106019102985 - 26 = 106019102921 is a prime.

It is a super-2 number, since 2×1060191029852 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334792 + ... + 569318.

It is an arithmetic number, because the mean of its divisors is an integer number (10602307296).

Almost surely, 2106019102985 is an apocalyptic number.

106019102985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106019102985 is a deficient number, since it is larger than the sum of its proper divisors (63617813751).

106019102985 is a wasteful number, since it uses less digits than its factorization.

106019102985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264672.

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 106019102985 in words is "one hundred six billion, nineteen million, one hundred two thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 30137 90411 150685 234527 452055 703581 1172635 3517905 7067940199 21203820597 35339700995 106019102985