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105033442455 = 3252837822727
BaseRepresentation
bin110000111010001111…
…0110010010010010111
3101001002221221201020100
41201310132302102113
53210102030124310
6120130211105143
710405553346564
oct1416436622227
9331087851210
10105033442455
11405a97049a7
12184335a21b3
139b9b57a166
14512574986b
152aeb099ec0
hex18747b2497

105033442455 has 24 divisors (see below), whose sum is σ = 182122360992. Its totient is φ = 55998022464.

The previous prime is 105033442441. The next prime is 105033442457. The reversal of 105033442455 is 554244330501.

It is not a de Polignac number, because 105033442455 - 228 = 104765006999 is a prime.

It is a super-2 number, since 2×1050334424552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033442457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283699 + ... + 539028.

It is an arithmetic number, because the mean of its divisors is an integer number (7588431708).

Almost surely, 2105033442455 is an apocalyptic number.

105033442455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105033442455 is a deficient number, since it is larger than the sum of its proper divisors (77088918537).

105033442455 is a wasteful number, since it uses less digits than its factorization.

105033442455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825575 (or 825572 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105033442455 its reverse (554244330501), we get a palindrome (659277772956).

The spelling of 105033442455 in words is "one hundred five billion, thirty-three million, four hundred forty-two thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 45 2837 8511 14185 25533 42555 127665 822727 2468181 4113635 7404543 12340905 37022715 2334076499 7002229497 11670382495 21006688491 35011147485 105033442455