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105023403441 = 33111913115953
BaseRepresentation
bin110000111001111100…
…0011111010110110001
3101001002021001200022000
41201303320133112301
53210041442402231
6120125212004213
710405402125405
oct1416370372661
9331067050260
10105023403441
11405a3a784a0
1218430160669
139b99473908
145124295105
152aea2656e6
hex1873e1f5b1

105023403441 has 64 divisors (see below), whose sum is σ = 171200839680. Its totient is φ = 63103104000.

The previous prime is 105023403427. The next prime is 105023403451. The reversal of 105023403441 is 144304320501.

It is a happy number.

It is not a de Polignac number, because 105023403441 - 25 = 105023403409 is a prime.

It is a super-2 number, since 2×1050234034412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105023403451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17639121 + ... + 17645073.

It is an arithmetic number, because the mean of its divisors is an integer number (2675013120).

Almost surely, 2105023403441 is an apocalyptic number.

105023403441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105023403441 is a deficient number, since it is larger than the sum of its proper divisors (66177436239).

105023403441 is a wasteful number, since it uses less digits than its factorization.

105023403441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105023403441 its reverse (144304320501), we get a palindrome (249327723942).

The spelling of 105023403441 in words is "one hundred five billion, twenty-three million, four hundred three thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 191 297 311 573 933 1719 2101 2799 3421 5157 5953 6303 8397 10263 17859 18909 30789 53577 56727 59401 65483 92367 160731 178203 196449 534609 589347 653411 1137023 1603827 1768041 1851383 1960233 3411069 5554149 5880699 10233207 12507253 16662447 17642097 20365213 30699621 37521759 49987341 61095639 112565277 183286917 337695831 353614153 549860751 1060842459 3182527377 3889755683 9547582131 11669267049 35007801147 105023403441