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106028670 = 23511229209
BaseRepresentation
bin1100101000111…
…01111001111110
321101111210222210
412110131321332
5204120404140
614304321250
72425141326
oct624357176
9241453883
10106028670
1154939a00
122b613226
1318c74877
1410120286
159495d80
hex651de7e

106028670 has 48 divisors (see below), whose sum is σ = 279714960. Its totient is φ = 25703040.

The previous prime is 106028653. The next prime is 106028687. The reversal of 106028670 is 76820601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106028653) and next prime (106028687).

It is a super-2 number, since 2×1060286702 = 22484157723937800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10975 + ... + 18234.

It is an arithmetic number, because the mean of its divisors is an integer number (5827395).

Almost surely, 2106028670 is an apocalyptic number.

106028670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106028670 is an abundant number, since it is smaller than the sum of its proper divisors (173686290).

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

106028670 is a wasteful number, since it uses less digits than its factorization.

106028670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29241 (or 29230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106028670 is about 10297.0223851364. The cubic root of 106028670 is about 473.3050132938.

The spelling of 106028670 in words is "one hundred six million, twenty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 29209 58418 87627 146045 175254 292090 321299 438135 642598 876270 963897 1606495 1927794 3212990 3534289 4819485 7068578 9638970 10602867 17671445 21205734 35342890 53014335 106028670