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106221406445 = 57211359109789
BaseRepresentation
bin110001011101101001…
…0100000100011101101
3101011011202022112110122
41202323102200203231
53220020140001240
6120444125214325
710450160025500
oct1427322404355
9334152275418
10106221406445
114105923a920
12187054013a5
13a02a71912b
1451d9425137
152b6a5094b5
hex18bb4a08ed

106221406445 has 48 divisors (see below), whose sum is σ = 162208137600. Its totient is φ = 66030894720.

The previous prime is 106221406433. The next prime is 106221406453. The reversal of 106221406445 is 544604122601.

It is not a de Polignac number, because 106221406445 - 28 = 106221406189 is a prime.

It is a super-2 number, since 2×1062214064452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912611 + ... + 1022399.

It is an arithmetic number, because the mean of its divisors is an integer number (3379336200).

Almost surely, 2106221406445 is an apocalyptic number.

It is an amenable number.

106221406445 is a deficient number, since it is larger than the sum of its proper divisors (55986731155).

106221406445 is a wasteful number, since it uses less digits than its factorization.

106221406445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110178 (or 110171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 106221406445 in words is "one hundred six billion, two hundred twenty-one million, four hundred six thousand, four hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 359 385 539 1795 2513 2695 3949 12565 17591 19745 27643 87955 109789 138215 193501 548945 768523 967505 1207679 3842615 5379661 6038395 8453753 26898305 39414251 42268765 59176271 197071255 275899757 295881355 433556761 1379498785 1931298299 2167783805 3034897327 9656491495 15174486635 21244281289 106221406445