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106139724 = 22347307613
BaseRepresentation
bin1100101001110…
…01000001001100
321101201110022220
412110321001030
5204132432344
614310535340
72426113155
oct624710114
9241643286
10106139724
1154a05389
122b667550
1318cb3292
141014c92c
1594b8c19
hex653904c

106139724 has 48 divisors (see below), whose sum is σ = 254166528. Its totient is φ = 34458048.

The previous prime is 106139723. The next prime is 106139729. The reversal of 106139724 is 427931601.

It is a super-2 number, since 2×1061397242 = 22531282021592352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106139723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172842 + ... + 173454.

It is an arithmetic number, because the mean of its divisors is an integer number (5295136).

Almost surely, 2106139724 is an apocalyptic number.

It is an amenable number.

106139724 is an abundant number, since it is smaller than the sum of its proper divisors (148026804).

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

106139724 is a wasteful number, since it uses less digits than its factorization.

106139724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106139724 is about 10302.4135036408. The cubic root of 106139724 is about 473.4702015534.

The spelling of 106139724 in words is "one hundred six million, one hundred thirty-nine thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 307 564 613 614 921 1226 1228 1839 1842 2452 3678 3684 7356 14429 28811 28858 43287 57622 57716 86433 86574 115244 172866 173148 188191 345732 376382 564573 752764 1129146 2258292 8844977 17689954 26534931 35379908 53069862 106139724