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106210830 = 23511321851
BaseRepresentation
bin1100101010010…
…10011000001110
321101212001212110
412111022120032
5204142221310
614312244450
72426530365
oct625123016
9241761773
10106210830
1154a53850
122b6a0726
131900975b
141016a7dc
1594ced20
hex654a60e

106210830 has 32 divisors (see below), whose sum is σ = 278080128. Its totient is φ = 25748000.

The previous prime is 106210813. The next prime is 106210837. The reversal of 106210830 is 38012601.

It is a super-2 number, since 2×1062108302 = 22561480818577800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106210797 and 106210806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106210837) 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, 160596 + ... + 161255.

It is an arithmetic number, because the mean of its divisors is an integer number (8690004).

Almost surely, 2106210830 is an apocalyptic number.

106210830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106210830 is an abundant number, since it is smaller than the sum of its proper divisors (171869298).

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

106210830 is a wasteful number, since it uses less digits than its factorization.

106210830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321872.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106210830 is about 10305.8638648102. The cubic root of 106210830 is about 473.5759083068.

The spelling of 106210830 in words is "one hundred six million, two hundred ten thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 321851 643702 965553 1609255 1931106 3218510 3540361 4827765 7080722 9655530 10621083 17701805 21242166 35403610 53105415 106210830