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106688436 = 22350917467
BaseRepresentation
bin1100101101111…
…10111110110100
321102202100000120
412112332332310
5204303012221
614330411540
72433560001
oct626767664
9242670016
10106688436
115524a668
122b890bb0
1319145c6a
14102528a8
1595765c6
hex65befb4

106688436 has 24 divisors (see below), whose sum is σ = 249443040. Its totient is φ = 35490912.

The previous prime is 106688431. The next prime is 106688443. The reversal of 106688436 is 634886601.

It is a happy number.

It is a super-2 number, since 2×1066884362 = 22764844752252192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106688431) 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, 2626 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (10393460).

Almost surely, 2106688436 is an apocalyptic number.

It is an amenable number.

106688436 is an abundant number, since it is smaller than the sum of its proper divisors (142754604).

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

106688436 is a wasteful number, since it uses less digits than its factorization.

106688436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983 (or 17981 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 106688436 is about 10329.0094394380. The cubic root of 106688436 is about 474.2847014024.

The spelling of 106688436 in words is "one hundred six million, six hundred eighty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 509 1018 1527 2036 3054 6108 17467 34934 52401 69868 104802 209604 8890703 17781406 26672109 35562812 53344218 106688436