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105031087275 = 35243131248609
BaseRepresentation
bin110000111010001010…
…1110011010010101011
3101001002210112001112110
41201310111303102223
53210100424243100
6120130044413403
710405524340302
oct1416425632253
9331083461473
10105031087275
11405a8346474
1218432847263
139b9ac3416a
1451252d5439
152aeac82250
hex18745734ab

105031087275 has 48 divisors (see below), whose sum is σ = 179046933120. Its totient is φ = 54295987200.

The previous prime is 105031087223. The next prime is 105031087277. The reversal of 105031087275 is 572780130501.

It is not a de Polignac number, because 105031087275 - 26 = 105031087211 is a prime.

It is a super-2 number, since 2×1050310872752 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105031087277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298171 + ... + 546779.

It is an arithmetic number, because the mean of its divisors is an integer number (3730144440).

Almost surely, 2105031087275 is an apocalyptic number.

105031087275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105031087275 is a deficient number, since it is larger than the sum of its proper divisors (74015845845).

105031087275 is a wasteful number, since it uses less digits than its factorization.

105031087275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248796 (or 248791 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 105031087275 in words is "one hundred five billion, thirty-one million, eighty-seven thousand, two hundred seventy-five".

Divisors: 1 3 5 15 25 43 75 129 131 215 393 645 655 1075 1965 3225 3275 5633 9825 16899 28165 84495 140825 248609 422475 745827 1243045 3729135 6215225 10690187 18645675 32070561 32567779 53450935 97703337 160352805 162838895 267254675 488516685 801764025 814194475 1400414497 2442583425 4201243491 7002072485 21006217455 35010362425 105031087275