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106000470 = 23253137993
BaseRepresentation
bin1100101000101…
…11000001010110
321101110101022100
412110113001112
5204114003340
614303542530
72424663162
oct624270126
9241411270
10106000470
115491a7a4
122b5baa46
1318c64a94
1410113ca2
15948c830
hex6517056

106000470 has 48 divisors (see below), whose sum is σ = 284499072. Its totient is φ = 27354240.

The previous prime is 106000459. The next prime is 106000471. The reversal of 106000470 is 74000601.

It is a super-2 number, since 2×1060004702 = 22472199280441800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16207 + ... + 21786.

It is an arithmetic number, because the mean of its divisors is an integer number (5927064).

Almost surely, 2106000470 is an apocalyptic number.

106000470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106000470 is an abundant number, since it is smaller than the sum of its proper divisors (178498602).

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

106000470 is a wasteful number, since it uses less digits than its factorization.

106000470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38037 (or 38034 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106000470 is about 10295.6529661795. The cubic root of 106000470 is about 473.2630485911.

The spelling of 106000470 in words is "one hundred six million, four hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 37993 75986 113979 189965 227958 341937 379930 569895 683874 1139790 1177783 1709685 2355566 3419370 3533349 5888915 7066698 10600047 11777830 17666745 21200094 35333490 53000235 106000470