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100107108 = 22322780753
BaseRepresentation
bin1011111011110…
…00001101100100
320222100222010200
411331320031210
5201111411413
613533350500
72323616313
oct575701544
9228328120
10100107108
1151564a52
1229638430
131798049a
14d41c27a
158bc6573
hex5f78364

100107108 has 18 divisors (see below), whose sum is σ = 253048614. Its totient is φ = 33369024.

The previous prime is 100107107. The next prime is 100107127. The reversal of 100107108 is 801701001.

It can be written as a sum of positive squares in only one way, i.e., 62062884 + 38044224 = 7878^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100107107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390341 + ... + 1390412.

Almost surely, 2100107108 is an apocalyptic number.

100107108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100107108 is an abundant number, since it is smaller than the sum of its proper divisors (152941506).

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

100107108 is a wasteful number, since it uses less digits than its factorization.

100107108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780763 (or 2780758 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 100107108 is about 10005.3539667520. The cubic root of 100107108 is about 464.3245413300.

Adding to 100107108 its reverse (801701001), we get a palindrome (901808109).

The spelling of 100107108 in words is "one hundred million, one hundred seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2780753 5561506 8342259 11123012 16684518 25026777 33369036 50053554 100107108