Search a number
-
+
103987116 = 22322888531
BaseRepresentation
bin1100011001010…
…11011110101100
321020200002111200
412030223132230
5203110041431
614152445500
72401606302
oct614533654
9236602450
10103987116
1153775072
122a9a9890
131870b54c
14db4c272
1591e0ee6
hex632b7ac

103987116 has 18 divisors (see below), whose sum is σ = 262856412. Its totient is φ = 34662360.

The previous prime is 103987099. The next prime is 103987123. The reversal of 103987116 is 611789301.

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

It is a super-3 number, since 3×1039871163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2888531 = 103987116 / (1 + 0 + 3 + 9 + 8 + 7 + 1 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1444230 + ... + 1444301.

It is an arithmetic number, because the mean of its divisors is an integer number (14603134).

Almost surely, 2103987116 is an apocalyptic number.

It is an amenable number.

103987116 is an abundant number, since it is smaller than the sum of its proper divisors (158869296).

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

103987116 is a wasteful number, since it uses less digits than its factorization.

103987116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888541 (or 2888536 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 103987116 is about 10197.4073175489. The cubic root of 103987116 is about 470.2475171293.

The spelling of 103987116 in words is "one hundred three million, nine hundred eighty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2888531 5777062 8665593 11554124 17331186 25996779 34662372 51993558 103987116