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10105250092 = 22717199711519
BaseRepresentation
bin10010110100101000…
…11110000100101100
3222002020210220002221
421122110132010230
5131143421000332
64350422325124
7505263131350
oct113224360454
928066726087
1010105250092
114316171a63
121b602897a4
13c5074b832
146bc11d460
153e224d297
hex25a51e12c

10105250092 has 96 divisors (see below), whose sum is σ = 22759833600. Its totient is φ = 3821395968.

The previous prime is 10105250027. The next prime is 10105250093. The reversal of 10105250092 is 29005250101.

It is not an unprimeable number, because it can be changed into a prime (10105250093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871509 + ... + 883027.

It is an arithmetic number, because the mean of its divisors is an integer number (237081600).

Almost surely, 210105250092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105250092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11379916800).

10105250092 is an abundant number, since it is smaller than the sum of its proper divisors (12654583508).

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

10105250092 is a wasteful number, since it uses less digits than its factorization.

10105250092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10105250092 in words is "ten billion, one hundred five million, two hundred fifty thousand, ninety-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 97 119 133 194 238 266 323 388 476 532 646 679 1292 1358 1649 1843 2261 2716 3298 3686 4522 6596 7372 9044 11519 11543 12901 23038 23086 25802 31331 46076 46172 51604 62662 80633 125324 161266 195823 218861 219317 322532 391646 437722 438634 783292 875444 877268 1117343 1370761 1532027 2234686 2741522 3064054 3720637 4469372 5483044 6128108 7441274 7821401 14882548 15642802 18994831 21229517 26044459 31285604 37989662 42459034 52088918 75979324 84918068 104177836 132963817 148606619 265927634 297213238 360901789 531855268 594426476 721803578 1443607156 2526312523 5052625046 10105250092