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106759483325 = 52111920432437
BaseRepresentation
bin110001101101101011…
…1000110111110111101
3101012120020210200011222
41203123113012332331
53222120411431300
6121013350123125
710466412430655
oct1433327067675
9335506720158
10106759483325
1141304a43a60
12188356504a5
13a0b5043611
14524aa8d365
152b9c894785
hex18db5c6fbd

106759483325 has 24 divisors (see below), whose sum is σ = 152017338720. Its totient is φ = 73556769600.

The previous prime is 106759483301. The next prime is 106759483333. The reversal of 106759483325 is 523384957601.

It is a happy number.

It is not a de Polignac number, because 106759483325 - 26 = 106759483261 is a prime.

It is a super-2 number, since 2×1067594833252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10210994 + ... + 10221443.

It is an arithmetic number, because the mean of its divisors is an integer number (6334055780).

It is a 1-persistent number, because it is pandigital, but 2⋅106759483325 = 213518966650 is not.

Almost surely, 2106759483325 is an apocalyptic number.

It is an amenable number.

106759483325 is a deficient number, since it is larger than the sum of its proper divisors (45257855395).

106759483325 is a wasteful number, since it uses less digits than its factorization.

106759483325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432477 (or 20432472 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 106759483325 in words is "one hundred six billion, seven hundred fifty-nine million, four hundred eighty-three thousand, three hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 209 275 475 1045 5225 20432437 102162185 224756807 388216303 510810925 1123784035 1941081515 4270379333 5618920175 9705407575 21351896665 106759483325