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106432130405 = 537577997069
BaseRepresentation
bin110001100011111011…
…0010110110101100101
3101011201102211102101202
41203013312112311211
53220433111133110
6120521053532245
710455326116166
oct1430766266545
9334642742352
10106432130405
1141157187957
1218763aa4085
13a062289673
1452193d976d
152b7dc810a5
hex18c7d96d65

106432130405 has 16 divisors (see below), whose sum is σ = 131397872880. Its totient is φ = 82700808192.

The previous prime is 106432130381. The next prime is 106432130407. The reversal of 106432130405 is 504031234601.

It can be written as a sum of positive squares in 8 ways, for example, as 40083643681 + 66348486724 = 200209^2 + 257582^2 .

It is a cyclic number.

It is not a de Polignac number, because 106432130405 - 220 = 106431081829 is a prime.

It is a super-2 number, since 2×1064321304052 (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 (106432130407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391790 + ... + 605279.

It is an arithmetic number, because the mean of its divisors is an integer number (8212367055).

Almost surely, 2106432130405 is an apocalyptic number.

It is an amenable number.

106432130405 is a deficient number, since it is larger than the sum of its proper divisors (24965742475).

106432130405 is an equidigital number, since it uses as much as digits as its factorization.

106432130405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997688.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 106432130405 in words is "one hundred six billion, four hundred thirty-two million, one hundred thirty thousand, four hundred five".

Divisors: 1 5 37 185 577 2885 21349 106745 997069 4985345 36891553 184457765 575308813 2876544065 21286426081 106432130405