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106430541165 = 3351371938431
BaseRepresentation
bin110001100011111000…
…0010010110101101101
3101011201022211200101000
41203013300102311231
53220432204304130
6120520555510513
710455306446634
oct1430760226555
9334638750330
10106430541165
11411562a1933
1218763458439
13a061b511a0
14521910451b
152b7da6a260
hex18c7c12d6d

106430541165 has 64 divisors (see below), whose sum is σ = 203816954880. Its totient is φ = 52383075840.

The previous prime is 106430541163. The next prime is 106430541199. The reversal of 106430541165 is 561145034601.

106430541165 is a `hidden beast` number, since 1 + 0 + 643 + 0 + 5 + 4 + 1 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 106430541165 - 21 = 106430541163 is a prime.

It is a super-2 number, since 2×1064305411652 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106430541163) 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 63 ways as a sum of consecutive naturals, for example, 12619500 + ... + 12627930.

It is an arithmetic number, because the mean of its divisors is an integer number (3184639920).

Almost surely, 2106430541165 is an apocalyptic number.

106430541165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106430541165 is a deficient number, since it is larger than the sum of its proper divisors (97386413715).

106430541165 is a wasteful number, since it uses less digits than its factorization.

106430541165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15651 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 106430541165 its reverse (561145034601), we get a palindrome (667575575766).

The spelling of 106430541165 in words is "one hundred six billion, four hundred thirty million, five hundred forty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 7193 8431 21579 25293 35965 42155 64737 75879 93509 107895 109603 126465 194211 227637 280527 323685 328809 379395 467545 548015 841581 971055 986427 1138185 1402635 1644045 2524743 2959281 4207905 4932135 12623715 14796405 60644183 181932549 303220915 545797647 788374379 909662745 1637392941 2365123137 2728988235 3941871895 7095369411 8186964705 11825615685 21286108233 35476847055 106430541165