Search a number
-
+
105835108076 = 22229599192889
BaseRepresentation
bin110001010010001000…
…0111001011011101100
3101010011211102112201122
41202210100321123230
53213222241424301
6120341525400112
710434456401255
oct1424420713354
9333154375648
10105835108076
1140980183175
1218617b69038
139c98694209
14519ddc9b2c
152b4665081b
hex18a44396ec

105835108076 has 24 divisors (see below), whose sum is σ = 186331740000. Its totient is φ = 52598242944.

The previous prime is 105835108039. The next prime is 105835108079. The reversal of 105835108076 is 670801538501.

It is a super-2 number, since 2×1058351080762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105835108079) 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 7 ways as a sum of consecutive naturals, for example, 452240 + ... + 645128.

It is an arithmetic number, because the mean of its divisors is an integer number (7763822500).

Almost surely, 2105835108076 is an apocalyptic number.

It is an amenable number.

105835108076 is a deficient number, since it is larger than the sum of its proper divisors (80496631924).

105835108076 is a wasteful number, since it uses less digits than its factorization.

105835108076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193721 (or 193719 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 105835108076 in words is "one hundred five billion, eight hundred thirty-five million, one hundred eight thousand, seventy-six".

Divisors: 1 2 4 229 458 599 916 1198 2396 137171 192889 274342 385778 548684 771556 44171581 88343162 115540511 176686324 231081022 462162044 26458777019 52917554038 105835108076