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23105106 = 2323147881
BaseRepresentation
bin101100000100…
…0111001010010
31121110212020200
41120020321102
521403330411
62143120030
7400250553
oct130107122
947425220
1023105106
1112051232
1278a3016
134a2c87b
1430d632a
152065e56
hex1608e52

23105106 has 48 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 7286400.

The previous prime is 23105077. The next prime is 23105107. The reversal of 23105106 is 60150132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105107) 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, 25786 + ... + 26666.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 223105106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23105106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

23105106 is an abundant number, since it is smaller than the sum of its proper divisors (29730222).

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

23105106 is a wasteful number, since it uses less digits than its factorization.

23105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 23105106 is about 4806.7770907335. Note that the first 3 decimals coincide. The cubic root of 23105106 is about 284.8192390240.

Adding to 23105106 its reverse (60150132), we get a palindrome (83255238).

The spelling of 23105106 in words is "twenty-three million, one hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 881 1457 1762 2643 2914 4371 5286 7929 8742 13113 15858 26226 27311 41407 54622 81933 82814 124221 163866 245799 248442 372663 491598 745326 1283617 2567234 3850851 7701702 11552553 23105106