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106664540 = 2255333227
BaseRepresentation
bin1100101101110…
…01001001011100
321102201010020112
412112321021130
5204301231130
614330105152
72433430223
oct626711134
9242633215
10106664540
1155233714
122b87b1b8
1319138118
1410247cba
15956e495
hex65b925c

106664540 has 12 divisors (see below), whose sum is σ = 223995576. Its totient is φ = 42665808.

The previous prime is 106664531. The next prime is 106664549. The reversal of 106664540 is 45466601.

It is an interprime number because it is at equal distance from previous prime (106664531) and next prime (106664549).

It is a super-2 number, since 2×1066645402 = 22754648186823200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106664497 and 106664506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106664549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2666594 + ... + 2666633.

It is an arithmetic number, because the mean of its divisors is an integer number (18666298).

Almost surely, 2106664540 is an apocalyptic number.

106664540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106664540 is an abundant number, since it is smaller than the sum of its proper divisors (117331036).

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

106664540 is a wasteful number, since it uses less digits than its factorization.

106664540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333236 (or 5333234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 106664540 is about 10327.8526325660. The cubic root of 106664540 is about 474.2492887751.

The spelling of 106664540 in words is "one hundred six million, six hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 5333227 10666454 21332908 26666135 53332270 106664540