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105342650 = 25272193173
BaseRepresentation
bin1100100011101…
…10011010111010
321100012221221122
412101312122322
5203431431100
614241505242
72416253300
oct621663272
9240187848
10105342650
1154510546
122b342222
1318a9453a
14ddc2270
1593ac985
hex64766ba

105342650 has 144 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 32659200.

The previous prime is 105342623. The next prime is 105342661. The reversal of 105342650 is 56243501.

It is a super-2 number, since 2×1053426502 = 22194147818045000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1443014 + ... + 1443086.

It is an arithmetic number, because the mean of its divisors is an integer number (1743440).

Almost surely, 2105342650 is an apocalyptic number.

105342650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105342650 is an abundant number, since it is smaller than the sum of its proper divisors (145712710).

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

105342650 is a wasteful number, since it uses less digits than its factorization.

105342650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105342650 is about 10263.6567557572. The cubic root of 105342650 is about 472.2820210828.

The spelling of 105342650 in words is "one hundred five million, three hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 31 35 38 49 50 62 70 73 95 98 133 146 155 175 190 217 245 266 310 350 365 434 475 490 511 589 665 730 775 931 950 1022 1085 1178 1225 1330 1387 1519 1550 1825 1862 2170 2263 2450 2555 2774 2945 3038 3325 3577 3650 4123 4526 4655 5110 5425 5890 6650 6935 7154 7595 8246 9310 9709 10850 11315 12775 13870 14725 15190 15841 17885 19418 20615 22630 23275 25550 28861 29450 31682 34675 35770 37975 41230 42997 46550 48545 56575 57722 67963 69350 75950 79205 85994 89425 97090 103075 110887 113150 135926 144305 158410 178850 206150 214985 221774 242725 288610 300979 339815 396025 429970 485450 554435 601958 679630 721525 792050 1074925 1108870 1443050 1504895 1699075 2106853 2149850 2772175 3009790 3398150 4213706 5544350 7524475 10534265 15048950 21068530 52671325 105342650