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106066324 = 227132111381
BaseRepresentation
bin1100101001001…
…11000110010100
321101120201122101
412110213012110
5204123110244
614305211444
72425356160
oct624470624
9241521571
10106066324
1154965221
122b630b84
1318c88a50
141012dca0
1594a20d4
hex6527194

106066324 has 48 divisors (see below), whose sum is σ = 229699456. Its totient is φ = 41731200.

The previous prime is 106066321. The next prime is 106066327. The reversal of 106066324 is 423660601.

It is an interprime number because it is at equal distance from previous prime (106066321) and next prime (106066327).

It is a super-2 number, since 2×1060663242 = 22500130173745952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106066292 and 106066301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066321) 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, 76114 + ... + 77494.

Almost surely, 2106066324 is an apocalyptic number.

106066324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106066324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114849728).

106066324 is an abundant number, since it is smaller than the sum of its proper divisors (123633132).

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

106066324 is a wasteful number, since it uses less digits than its factorization.

106066324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 106066324 is about 10298.8506154813. The cubic root of 106066324 is about 473.3610349896.

The spelling of 106066324 in words is "one hundred six million, sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 211 364 422 844 1381 1477 2743 2762 2954 5486 5524 5908 9667 10972 17953 19201 19334 35906 38402 38668 71812 76804 125671 251342 291391 502684 582782 1165564 2039737 3788083 4079474 7576166 8158948 15152332 26516581 53033162 106066324