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106764924 = 2237325939
BaseRepresentation
bin1100101110100…
…01101001111100
321102220012221110
412113101221330
5204312434144
614332202020
72434326000
oct627215174
9242805843
10106764924
11552a2082
122b909310
1319171a16
1410272700
15958e0b9
hex65d1a7c

106764924 has 48 divisors (see below), whose sum is σ = 290528000. Its totient is φ = 30503088.

The previous prime is 106764923. The next prime is 106764929. The reversal of 106764924 is 429467601.

It is a happy number.

It is a super-2 number, since 2×1067649242 = 22797497993451552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106764923) 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, 8854 + ... + 17085.

Almost surely, 2106764924 is an apocalyptic number.

106764924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106764924 is an abundant number, since it is smaller than the sum of its proper divisors (183763076).

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

106764924 is a wasteful number, since it uses less digits than its factorization.

106764924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25967 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 106764924 is about 10332.7113576254. The cubic root of 106764924 is about 474.3980170959.

The spelling of 106764924 in words is "one hundred six million, seven hundred sixty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 25939 51878 77817 103756 155634 181573 311268 363146 544719 726292 1089438 1271011 2178876 2542022 3813033 5084044 7626066 8897077 15252132 17794154 26691231 35588308 53382462 106764924