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107339985 = 345265037
BaseRepresentation
bin1100110010111…
…10000011010001
321110222102210000
412121132003101
5204434334420
614352400213
72442242364
oct631360321
9243872700
10107339985
1155655135
122bb46069
13193136ac
14103820db
159654690
hex665e0d1

107339985 has 20 divisors (see below), whose sum is σ = 192417588. Its totient is φ = 57247776.

The previous prime is 107339983. The next prime is 107340007. The reversal of 107339985 is 589933701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80838081 + 26501904 = 8991^2 + 5148^2 .

It is not a de Polignac number, because 107339985 - 21 = 107339983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107339985.

It is not an unprimeable number, because it can be changed into a prime (107339983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132114 + ... + 132923.

Almost surely, 2107339985 is an apocalyptic number.

107339985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107339985 is a deficient number, since it is larger than the sum of its proper divisors (85077603).

107339985 is an equidigital number, since it uses as much as digits as its factorization.

107339985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265054 (or 265045 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 107339985 is about 10360.5011944404. The cubic root of 107339985 is about 475.2482322102.

The spelling of 107339985 in words is "one hundred seven million, three hundred thirty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 265037 795111 1325185 2385333 3975555 7155999 11926665 21467997 35779995 107339985