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107103382785 = 345737778971
BaseRepresentation
bin110001110111111011…
…0111110110100000001
3101020110012220120120000
41203233312332310001
53223321431222120
6121111433110213
710511056506210
oct1435766766401
9336405816500
10107103382785
1141471081793
1218910858369
13a13b371b19
14528060d077
152bbcb75990
hex18efdbed01

107103382785 has 40 divisors (see below), whose sum is σ = 219420269376. Its totient is φ = 48961545120.

The previous prime is 107103382781. The next prime is 107103382801. The reversal of 107103382785 is 587283301701.

It is not a de Polignac number, because 107103382785 - 22 = 107103382781 is a prime.

It is a super-2 number, since 2×1071033827852 (a number of 23 digits) contains 22 as substring.

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 107103382785.

It is not an unprimeable number, because it can be changed into a prime (107103382781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18886651 + ... + 18892320.

Almost surely, 2107103382785 is an apocalyptic number.

107103382785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107103382785 is an abundant number, since it is smaller than the sum of its proper divisors (112316886591).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107103382785 is an equidigital number, since it uses as much as digits as its factorization.

107103382785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37778995 (or 37778986 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 107103382785 in words is "one hundred seven billion, one hundred three million, three hundred eighty-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 37778971 113336913 188894855 264452797 340010739 566684565 793358391 1020032217 1322263985 1700053695 2380075173 3060096651 3966791955 5100161085 7140225519 11900375865 15300483255 21420676557 35701127595 107103382785