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103106310 = 23529313823
BaseRepresentation
bin1100010010101…
…00011100000110
321012000100021020
412021110130012
5202343400220
614121532010
72361250326
oct611243406
9235010236
10103106310
115322332a
122a644006
1318490668
14d99d286
1590ba040
hex6254706

103106310 has 64 divisors (see below), whose sum is σ = 264314880. Its totient is φ = 25683840.

The previous prime is 103106299. The next prime is 103106317. The reversal of 103106310 is 13601301.

It is a super-2 number, since 2×1031063102 = 21261822323632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103106310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103106317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25059 + ... + 28881.

It is an arithmetic number, because the mean of its divisors is an integer number (4129920).

Almost surely, 2103106310 is an apocalyptic number.

103106310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103106310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132157440).

103106310 is an abundant number, since it is smaller than the sum of its proper divisors (161208570).

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

103106310 is a wasteful number, since it uses less digits than its factorization.

103106310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103106310 is about 10154.1277321097. The cubic root of 103106310 is about 468.9160322063.

Adding to 103106310 its reverse (13601301), we get a palindrome (116707611).

The spelling of 103106310 in words is "one hundred three million, one hundred six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1798 2697 3823 4495 5394 7646 8990 11469 13485 19115 22938 26970 38230 57345 110867 114690 118513 221734 237026 332601 355539 554335 592565 665202 711078 1108670 1185130 1663005 1777695 3326010 3436877 3555390 6873754 10310631 17184385 20621262 34368770 51553155 103106310