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106812524 = 22713293441
BaseRepresentation
bin1100101110111…
…01010001101100
321102222122020102
412113131101230
5204321000044
614333210232
72434614530
oct627352154
9242878212
10106812524
1155324915
122b930978
131918a5a0
1410285bc0
15959d24e
hex65dd46c

106812524 has 24 divisors (see below), whose sum is σ = 230058528. Its totient is φ = 42255360.

The previous prime is 106812523. The next prime is 106812527. The reversal of 106812524 is 425218601.

It is a super-2 number, since 2×1068125242 = 22817830566501152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106812523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146357 + ... + 147084.

It is an arithmetic number, because the mean of its divisors is an integer number (9585772).

Almost surely, 2106812524 is an apocalyptic number.

106812524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106812524 is an abundant number, since it is smaller than the sum of its proper divisors (123246004).

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

106812524 is a wasteful number, since it uses less digits than its factorization.

106812524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293465 (or 293463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 106812524 is about 10335.0144653987. The cubic root of 106812524 is about 474.4685083825.

The spelling of 106812524 in words is "one hundred six million, eight hundred twelve thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 293441 586882 1173764 2054087 3814733 4108174 7629466 8216348 15258932 26703131 53406262 106812524