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105001265488 = 2471167780287
BaseRepresentation
bin110000111001010010…
…0000010100101010000
3101001000201101221201211
41201302210002211100
53210020310443423
6120123101305504
710405013013310
oct1416244024520
9331021357654
10105001265488
1140592527969
1218424865294
139b949c2332
145121371440
152ae834110d
hex1872902950

105001265488 has 40 divisors (see below), whose sum is σ = 232525609472. Its totient is φ = 44996128128.

The previous prime is 105001265471. The next prime is 105001265491. The reversal of 105001265488 is 884562100501.

It is a happy number.

It is a super-2 number, since 2×1050012654882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001265488.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267681 + ... + 1347967.

Almost surely, 2105001265488 is an apocalyptic number.

It is an amenable number.

105001265488 is an abundant number, since it is smaller than the sum of its proper divisors (127524343984).

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

105001265488 is a wasteful number, since it uses less digits than its factorization.

105001265488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91979 (or 91973 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

Adding to 105001265488 its reverse (884562100501), we get a palindrome (989563365989).

The spelling of 105001265488 in words is "one hundred five billion, one million, two hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 11677 23354 46708 80287 81739 93416 160574 163478 186832 321148 326956 562009 642296 653912 1124018 1284592 1307824 2248036 4496072 8992144 937511299 1875022598 3750045196 6562579093 7500090392 13125158186 15000180784 26250316372 52500632744 105001265488