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105098596240 = 24511210857293
BaseRepresentation
bin110000111100001011…
…1010100111110010000
3101001021111112212102111
41201320113110332100
53210220220034430
6120140455355104
710410304220401
oct1417027247620
9331244485374
10105098596240
1140632465a00
1218451382a94
139babc0cbb1
1451302699a8
152b01b69c2a
hex18785d4f90

105098596240 has 60 divisors (see below), whose sum is σ = 268587738972. Its totient is φ = 38217667840.

The previous prime is 105098596223. The next prime is 105098596241. The reversal of 105098596240 is 42695890501.

It can be written as a sum of positive squares in 2 ways, for example, as 17879968656 + 87218627584 = 133716^2 + 295328^2 .

It is a super-2 number, since 2×1050985962402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105098596241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418967 + ... + 5438326.

Almost surely, 2105098596240 is an apocalyptic number.

105098596240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105098596240 is an abundant number, since it is smaller than the sum of its proper divisors (163489142732).

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

105098596240 is a wasteful number, since it uses less digits than its factorization.

105098596240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857328 (or 10857311 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 105098596240 in words is "one hundred five billion, ninety-eight million, five hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 10857293 21714586 43429172 54286465 86858344 108572930 119430223 173716688 217145860 238860446 434291720 477720892 597151115 868583440 955441784 1194302230 1313732453 1910883568 2388604460 2627464906 4777208920 5254929812 6568662265 9554417840 10509859624 13137324530 21019719248 26274649060 52549298120 105098596240