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105707377478 = 22928112135347
BaseRepresentation
bin110001001110010100…
…1101001001101000110
3101002211221002011021202
41202130221221031012
53212442042034403
6120321123542502
710431345611663
oct1423451511506
9332757064252
10105707377478
114091507129a
12185a122aa32
139c78091691
14518b05aa6a
152b3a31e688
hex189ca69346

105707377478 has 32 divisors (see below), whose sum is σ = 164778939360. Its totient is φ = 50798119680.

The previous prime is 105707377471. The next prime is 105707377481. The reversal of 105707377478 is 874773707501.

105707377478 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057073774782 (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 (105707377471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19766801 + ... + 19772147.

It is an arithmetic number, because the mean of its divisors is an integer number (5149341855).

Almost surely, 2105707377478 is an apocalyptic number.

105707377478 is a deficient number, since it is larger than the sum of its proper divisors (59071561882).

105707377478 is a wasteful number, since it uses less digits than its factorization.

105707377478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872.

The product of its (nonzero) digits is 8067360, while the sum is 56.

The spelling of 105707377478 in words is "one hundred five billion, seven hundred seven million, three hundred seventy-seven thousand, four hundred seventy-eight".

Divisors: 1 2 29 58 281 562 1213 2426 5347 8149 10694 16298 35177 70354 155063 310126 340853 681706 1502507 3005014 6485911 9884737 12971822 19769474 43572703 87145406 188091419 376182838 1822540991 3645081982 52853688739 105707377478