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107666604 = 22338312011
BaseRepresentation
bin1100110101011…
…01110010101100
321111121000211000
412122231302230
5210030312404
614403400300
72445102543
oct632556254
9244530730
10107666604
1155858571
1230083090
13193c9266
141042915a
1596bb339
hex66adcac

107666604 has 48 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 35453520.

The previous prime is 107666599. The next prime is 107666609. The reversal of 107666604 is 406666701.

It is an interprime number because it is at equal distance from previous prime (107666599) and next prime (107666609).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107666609) 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, 2959 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2107666604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107666604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

107666604 is an abundant number, since it is smaller than the sum of its proper divisors (174855636).

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

107666604 is a wasteful number, since it uses less digits than its factorization.

107666604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 107666604 is about 10376.2519244668. The cubic root of 107666604 is about 475.7297797776.

The spelling of 107666604 in words is "one hundred seven million, six hundred sixty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 12011 24022 36033 48044 72066 108099 144132 216198 324297 432396 648594 996913 1297188 1993826 2990739 3987652 5981478 8972217 11962956 17944434 26916651 35888868 53833302 107666604