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106265275725 = 35271877107837
BaseRepresentation
bin110001011110111100…
…1110110110101001101
3101011021210212022210210
41202331321312311031
53220112402310400
6120452333353033
710451231640330
oct1427571666515
9334253768723
10106265275725
1141080a83524
1218718038779
13a036838b9b
1452011a4617
152b6e2c2950
hex18bde76d4d

106265275725 has 48 divisors (see below), whose sum is σ = 200899605888. Its totient is φ = 48552080640.

The previous prime is 106265275687. The next prime is 106265275747. The reversal of 106265275725 is 527572562601.

It is not a de Polignac number, because 106265275725 - 29 = 106265275213 is a prime.

It is a super-2 number, since 2×1062652757252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931507 + ... + 1039343.

It is an arithmetic number, because the mean of its divisors is an integer number (4185408456).

Almost surely, 2106265275725 is an apocalyptic number.

106265275725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106265275725 is a deficient number, since it is larger than the sum of its proper divisors (94634330163).

106265275725 is a wasteful number, since it uses less digits than its factorization.

106265275725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109734 (or 109729 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 106265275725 in words is "one hundred six billion, two hundred sixty-five million, two hundred seventy-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 1877 5631 9385 13139 28155 39417 46925 65695 107837 140775 197085 323511 328475 539185 754859 985425 1617555 2264577 2695925 3774295 8087775 11322885 18871475 56614425 202410049 607230147 1012050245 1416870343 3036150735 4250611029 5060251225 7084351715 15180753675 21253055145 35421758575 106265275725