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104375661705 = 3257273648437
BaseRepresentation
bin110000100110101000…
…1100011010010001001
3100222102010012222200100
41201031101203102021
53202230132133310
6115541032400013
710353345325500
oct1411521432211
9328363188610
10104375661705
11402a1381547
121828b246009
139ac5200793
1450a2241837
152aad466ec0
hex184d463489

104375661705 has 72 divisors (see below), whose sum is σ = 213338695752. Its totient is φ = 47060891136.

The previous prime is 104375661697. The next prime is 104375661707. The reversal of 104375661705 is 507166573401.

104375661705 is a `hidden beast` number, since 10 + 4 + 3 + 7 + 566 + 1 + 70 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208744704 + 104166917001 = 14448^2 + 322749^2 .

It is not a de Polignac number, because 104375661705 - 23 = 104375661697 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (104375661707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163254 + ... + 485183.

It is an arithmetic number, because the mean of its divisors is an integer number (2963037441).

Almost surely, 2104375661705 is an apocalyptic number.

104375661705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104375661705 is an abundant number, since it is smaller than the sum of its proper divisors (108963034047).

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

104375661705 is a wasteful number, since it uses less digits than its factorization.

104375661705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648535 (or 648525 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 104375661705 in words is "one hundred four billion, three hundred seventy-five million, six hundred sixty-one thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 73 105 147 219 245 315 365 441 511 657 735 1095 1533 2205 2555 3285 3577 4599 7665 10731 17885 22995 32193 53655 160965 648437 1945311 3242185 4539059 5835933 9726555 13617177 22695295 29179665 31773413 40851531 47335901 68085885 95320239 142007703 158867065 204257655 236679505 285960717 331351307 426023109 476601195 710038515 994053921 1429803585 1656756535 2130115545 2319459149 2982161763 4970269605 6958377447 11597295745 14910808815 20875132341 34791887235 104375661705