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105493740804 = 2232541332
BaseRepresentation
bin110001000111111101…
…0101011110100000100
3101002022001002021212100
41202033322223310010
53212022344201204
6120244012552100
710423143000354
oct1421772536404
9332261067770
10105493740804
1140815514961
1218541782630
139c42a4144a
14516a928b64
152b266bea39
hex188feabd04

105493740804 has 27 divisors (see below), whose sum is σ = 266669659893. Its totient is φ = 35163930672.

The previous prime is 105493740799. The next prime is 105493740811. The reversal of 105493740804 is 408047394501.

The square root of 105493740804 is 324798.

It is a perfect power (a square), and thus also a powerful number.

105493740804 is a `hidden beast` number, since 10 + 5 + 493 + 74 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97416900 + 105396323904 = 9870^2 + 324648^2 .

It is a super-2 number, since 2×1054937408042 (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 105493740804.

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 8 ways as a sum of consecutive naturals, for example, 1921722 + ... + 1975854.

Almost surely, 2105493740804 is an apocalyptic number.

105493740804 is the 324798-th square number.

It is an amenable number.

105493740804 is an abundant number, since it is smaller than the sum of its proper divisors (161175919089).

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

105493740804 is an frugal number, since it uses more digits than its factorization.

105493740804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108276 (or 54138 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105493740804 in words is "one hundred five billion, four hundred ninety-three million, seven hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 54133 108266 162399 216532 324798 487197 649596 974394 1948788 2930381689 5860763378 8791145067 11721526756 17582290134 26373435201 35164580268 52746870402 105493740804