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106404410 = 25712711969
BaseRepresentation
bin1100101011110…
…01101000111010
321102012220102002
412111321220322
5204214420120
614320341002
72431264640
oct625715072
9242186362
10106404410
1155076232
122b774762
13190768b8
14101bb190
15951c375
hex6579a3a

106404410 has 32 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 36191232.

The previous prime is 106404407. The next prime is 106404413. The reversal of 106404410 is 14404601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106404407) and next prime (106404413).

It is a super-2 number, since 2×1064044102 = 22643796934896200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106404413) 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, 2906 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2106404410 is an apocalyptic number.

106404410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106404410 is an abundant number, since it is smaller than the sum of its proper divisors (114226630).

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

106404410 is a wasteful number, since it uses less digits than its factorization.

106404410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 106404410 is about 10315.2513299483. The cubic root of 106404410 is about 473.8634470481.

The spelling of 106404410 in words is "one hundred six million, four hundred four thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 70 127 254 635 889 1270 1778 4445 8890 11969 23938 59845 83783 119690 167566 418915 837830 1520063 3040126 7600315 10640441 15200630 21280882 53202205 106404410