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103115106 = 235331641
BaseRepresentation
bin1100010010101…
…10100101100010
321012000210100000
412021112211202
5202344140411
614122040430
72361315063
oct611264542
9235023300
10103115106
11532299a6
122a649116
1318494673
14d9a256a
1590bc956
hex6256962

103115106 has 48 divisors (see below), whose sum is σ = 232753248. Its totient is φ = 34214400.

The previous prime is 103115087. The next prime is 103115107. The reversal of 103115106 is 601511301.

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 (103115107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160546 + ... + 161186.

It is an arithmetic number, because the mean of its divisors is an integer number (4849026).

Almost surely, 2103115106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103115106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116376624).

103115106 is an abundant number, since it is smaller than the sum of its proper divisors (129638142).

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

103115106 is an equidigital number, since it uses as much as digits as its factorization.

103115106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 103115106 is about 10154.5608472253. The cubic root of 103115106 is about 468.9293662371.

Adding to 103115106 its reverse (601511301), we get a palindrome (704626407).

The spelling of 103115106 in words is "one hundred three million, one hundred fifteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 331 486 641 662 993 1282 1923 1986 2979 3846 5769 5958 8937 11538 17307 17874 26811 34614 51921 53622 80433 103842 155763 160866 212171 311526 424342 636513 1273026 1909539 3819078 5728617 11457234 17185851 34371702 51557553 103115106