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106874580 = 223517104779
BaseRepresentation
bin1100101111011…
…00011011010100
321110002210100210
412113230123110
5204324441310
614334405420
72435263461
oct627543324
9243083323
10106874580
11553674aa
122b960870
13191ac8c7
14102a0668
1595b1820
hex65ec6d4

106874580 has 48 divisors (see below), whose sum is σ = 316854720. Its totient is φ = 26823168.

The previous prime is 106874557. The next prime is 106874587. The reversal of 106874580 is 85478601.

It is a super-2 number, since 2×1068745802 = 22844351700352800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106874587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51370 + ... + 53409.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2106874580 is an apocalyptic number.

106874580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106874580 is an abundant number, since it is smaller than the sum of its proper divisors (209980140).

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

106874580 is a wasteful number, since it uses less digits than its factorization.

106874580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104808 (or 104806 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 106874580 is about 10338.0162507127. The cubic root of 106874580 is about 474.5603762535.

The spelling of 106874580 in words is "one hundred six million, eight hundred seventy-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 104779 209558 314337 419116 523895 628674 1047790 1257348 1571685 1781243 2095580 3143370 3562486 5343729 6286740 7124972 8906215 10687458 17812430 21374916 26718645 35624860 53437290 106874580