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105058374304 = 25132339107971
BaseRepresentation
bin110000111010111110…
…1111001001010100000
3101001011200212101022011
41201311331321022200
53210124420434204
6120132501322304
710406305306312
oct1416575711240
9331150771264
10105058374304
1140611793634
121843ba06394
139ba3799330
145128b997b2
152aed372304
hex1875f792a0

105058374304 has 48 divisors (see below), whose sum is σ = 222841251360. Its totient is φ = 48467301120.

The previous prime is 105058374283. The next prime is 105058374319. The reversal of 105058374304 is 403473850501.

It is a super-2 number, since 2×1050583743042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 919039 + ... + 1027009.

It is an arithmetic number, because the mean of its divisors is an integer number (4642526070).

Almost surely, 2105058374304 is an apocalyptic number.

It is an amenable number.

105058374304 is an abundant number, since it is smaller than the sum of its proper divisors (117782877056).

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

105058374304 is a wasteful number, since it uses less digits than its factorization.

105058374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110333 (or 110325 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 105058374304 in words is "one hundred five billion, fifty-eight million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2339 4678 9356 18712 30407 37424 60814 74848 107971 121628 215942 243256 431884 486512 863768 973024 1403623 1727536 2807246 3455072 5614492 11228984 22457968 44915936 252544169 505088338 1010176676 2020353352 3283074197 4040706704 6566148394 8081413408 13132296788 26264593576 52529187152 105058374304