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106885186489 = 192172072
BaseRepresentation
bin110001110001011011…
…0101000001110111001
3101012220000100001111201
41203202312220032321
53222400101431424
6121034040254201
710502500044334
oct1434266501671
9335800301451
10106885186489
11413699a0674
121886b771361
13a1050b63a3
14525d65161b
152ba8924d44
hex18e2da83b9

106885186489 has 9 divisors (see below), whose sum is σ = 112813359717. Its totient is φ = 101253765564.

The previous prime is 106885186481. The next prime is 106885186511. The reversal of 106885186489 is 984681588601.

The square root of 106885186489 is 326933.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106885186489 - 23 = 106885186481 is a prime.

It is a super-2 number, since 2×1068851864892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106885186489.

It is not an unprimeable number, because it can be changed into a prime (106885186481) 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 8 ways as a sum of consecutive naturals, for example, 6203124 + ... + 6220330.

Almost surely, 2106885186489 is an apocalyptic number.

106885186489 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106885186489 is the 326933-rd square number.

106885186489 is the 163467-th centered octagonal number.

It is an amenable number.

106885186489 is a deficient number, since it is larger than the sum of its proper divisors (5928173228).

106885186489 is an frugal number, since it uses more digits than its factorization.

106885186489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 64.

Multiplying 106885186489 by its sum of digits (64), we get a square (6840651935296 = 26154642).

The spelling of 106885186489 in words is "one hundred six billion, eight hundred eighty-five million, one hundred eighty-six thousand, four hundred eighty-nine".

Divisors: 1 19 361 17207 326933 6211727 296080849 5625536131 106885186489