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106803070 = 25112611447
BaseRepresentation
bin1100101110110…
…10111101111110
321102222011021021
412113122331332
5204320144240
614333054354
72434545133
oct627327576
9242864237
10106803070
1155318800
122b9273ba
13191861aa
141028258a
15959a54a
hex65daf7e

106803070 has 48 divisors (see below), whose sum is σ = 214923744. Its totient is φ = 38174400.

The previous prime is 106803041. The next prime is 106803089. The reversal of 106803070 is 70308601.

It is a super-2 number, since 2×1068030702 = 22813791522849800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73087 + ... + 74533.

It is an arithmetic number, because the mean of its divisors is an integer number (4477578).

Almost surely, 2106803070 is an apocalyptic number.

106803070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106803070 is an abundant number, since it is smaller than the sum of its proper divisors (108120674).

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

106803070 is a wasteful number, since it uses less digits than its factorization.

106803070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106803070 is about 10334.5570780755. The cubic root of 106803070 is about 474.4545095321.

The spelling of 106803070 in words is "one hundred six million, eight hundred three thousand, seventy".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1342 1447 2894 3355 6710 7235 7381 14470 14762 15917 31834 36905 73810 79585 88267 159170 175087 176534 350174 441335 875435 882670 970937 1750870 1941874 4854685 9709370 10680307 21360614 53401535 106803070