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106225032015 = 33517457101281
BaseRepresentation
bin110001011101110000…
…0010101101101001111
3101011012000010201211000
41202323200111231033
53220022102011030
6120444335031343
710450232605614
oct1427340255517
9334160121730
10106225032015
1141060296863
121870666b553
13a02b3b843b
1451d9aca50b
152b6a9c3860
hex18bb815b4f

106225032015 has 64 divisors (see below), whose sum is σ = 200392513920. Its totient is φ = 53203599360.

The previous prime is 106225031971. The next prime is 106225032071. The reversal of 106225032015 is 510230522601.

It is a happy number.

106225032015 is a `hidden beast` number, since 1 + 0 + 622 + 5 + 0 + 3 + 20 + 15 = 666.

It is not a de Polignac number, because 106225032015 - 29 = 106225031503 is a prime.

It is a super-2 number, since 2×1062250320152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106225032015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998175 + ... + 1099455.

It is an arithmetic number, because the mean of its divisors is an integer number (3131133030).

Almost surely, 2106225032015 is an apocalyptic number.

106225032015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106225032015 is a deficient number, since it is larger than the sum of its proper divisors (94167481905).

106225032015 is a wasteful number, since it uses less digits than its factorization.

106225032015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101769 (or 101763 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 106225032015 its reverse (510230522601), we get a palindrome (616455554616).

The spelling of 106225032015 in words is "one hundred six billion, two hundred twenty-five million, thirty-two thousand, fifteen".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 457 459 765 1371 2285 2295 4113 6855 7769 12339 20565 23307 38845 61695 69921 101281 116535 209763 303843 349605 506405 911529 1048815 1519215 1721777 2734587 4557645 5165331 8608885 13672935 15495993 25826655 46285417 46487979 77479965 138856251 231427085 232439895 416568753 694281255 786852089 1249706259 2082843765 2360556267 3934260445 6248531295 7081668801 11802781335 21245006403 35408344005 106225032015