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1106105070 = 235761791093
BaseRepresentation
bin100000111101101…
…1101001011101110
32212002022221220110
41001323131023232
54231130330240
6301431400450
736260511060
oct10173351356
92762287813
101106105070
11518405124
1226a523126
1314820a755
14a6c8b730
156718ec80
hex41edd2ee

1106105070 has 128 divisors (see below), whose sum is σ = 3125514240. Its totient is φ = 245306880.

The previous prime is 1106105069. The next prime is 1106105087. The reversal of 1106105070 is 705016011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011444 + ... + 1012536.

It is an arithmetic number, because the mean of its divisors is an integer number (24418080).

Almost surely, 21106105070 is an apocalyptic number.

1106105070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106105070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562757120).

1106105070 is an abundant number, since it is smaller than the sum of its proper divisors (2019409170).

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

1106105070 is a wasteful number, since it uses less digits than its factorization.

1106105070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250.

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1106105070 is about 33258.1579465851. The cubic root of 1106105070 is about 1034.1863333607.

The spelling of 1106105070 in words is "one billion, one hundred six million, one hundred five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 79 105 122 158 183 210 237 305 366 395 427 474 553 610 790 854 915 1093 1106 1185 1281 1659 1830 2135 2186 2370 2562 2765 3279 3318 4270 4819 5465 5530 6405 6558 7651 8295 9638 10930 12810 14457 15302 16395 16590 22953 24095 28914 32790 33733 38255 45906 48190 66673 67466 72285 76510 86347 101199 114765 133346 144570 168665 172694 200019 202398 229530 259041 333365 337330 400038 431735 466711 505995 518082 604429 666730 863470 933422 1000095 1011990 1208858 1295205 1400133 1813287 2000190 2333555 2590410 2800266 3022145 3626574 4667110 5267167 6044290 7000665 9066435 10534334 14001330 15801501 18132870 26335835 31603002 36870169 52671670 73740338 79007505 110610507 158015010 184350845 221221014 368701690 553052535 1106105070