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106540364 = 22714925537
BaseRepresentation
bin1100101100110…
…10110101001100
321102110210220102
412112122311030
5204233242424
614323310232
72432402210
oct626326514
9242423812
10106540364
1155159397
122b81b378
13190c3748
1410214940
1595477ae
hex659ad4c

106540364 has 24 divisors (see below), whose sum is σ = 214519200. Its totient is φ = 45351936.

The previous prime is 106540351. The next prime is 106540381. The reversal of 106540364 is 463045601.

It is a happy number.

It is a super-2 number, since 2×1065403642 = 22701698322504992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8597 + ... + 16940.

It is an arithmetic number, because the mean of its divisors is an integer number (8938300).

Almost surely, 2106540364 is an apocalyptic number.

106540364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106540364 is an abundant number, since it is smaller than the sum of its proper divisors (107978836).

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

106540364 is a wasteful number, since it uses less digits than its factorization.

106540364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25697 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 106540364 is about 10321.8391772009. The cubic root of 106540364 is about 474.0651812065.

Adding to 106540364 its reverse (463045601), we get a palindrome (569585965).

The spelling of 106540364 in words is "one hundred six million, five hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 149 298 596 1043 2086 4172 25537 51074 102148 178759 357518 715036 3805013 7610026 15220052 26635091 53270182 106540364