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106005651160 = 2356183523433
BaseRepresentation
bin110001010111001101…
…1011101111011011000
3101010121201100000212011
41202232123131323120
53214044421314120
6120410500555304
710441630111363
oct1425633357330
9333551300764
10106005651160
1140a58476772
12186650b2b34
139cc4b06796
1451b89010da
152b565dbc5a
hex18ae6dded8

106005651160 has 64 divisors (see below), whose sum is σ = 245343984480. Its totient is φ = 41204567040.

The previous prime is 106005651139. The next prime is 106005651173. The reversal of 106005651160 is 61156500601.

It is a super-2 number, since 2×1060056511602 (a number of 23 digits) 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 15 ways as a sum of consecutive naturals, for example, 59197 + ... + 464236.

Almost surely, 2106005651160 is an apocalyptic number.

106005651160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005651160 is an abundant number, since it is smaller than the sum of its proper divisors (139338333320).

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

106005651160 is a wasteful number, since it uses less digits than its factorization.

106005651160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523588 (or 523584 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 106005651160 in words is "one hundred six billion, five million, six hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 166 244 305 332 415 488 610 664 830 1220 1660 2440 3320 5063 10126 20252 25315 40504 50630 101260 202520 523433 1046866 2093732 2617165 4187464 5234330 10468660 20937320 31929413 43444939 63858826 86889878 127717652 159647065 173779756 217224695 255435304 319294130 347559512 434449390 638588260 868898780 1277176520 1737797560 2650141279 5300282558 10600565116 13250706395 21201130232 26501412790 53002825580 106005651160