Search a number
-
+
106104739122 = 232767772
BaseRepresentation
bin110001011010001010…
…1011101010100110010
3101010212121210012222200
41202310111131110302
53214300303122442
6120424400444030
710444242254514
oct1426425352462
9333777705880
10106104739122
1140aa93a4a48
1218692319616
13a00c4bb105
1451c7b35bb4
152b6016134c
hex18b455d532

106104739122 has 18 divisors (see below), whose sum is σ = 229896595773. Its totient is φ = 35367785712.

The previous prime is 106104739109. The next prime is 106104739193. The reversal of 106104739122 is 221937401601.

106104739122 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 473 + 9 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89197198281 + 16907540841 = 298659^2 + 130029^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230331.

It is a super-2 number, since 2×1061047391222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1343598 + ... + 1420374.

Almost surely, 2106104739122 is an apocalyptic number.

106104739122 is an abundant number, since it is smaller than the sum of its proper divisors (123791856651).

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

106104739122 is an frugal number, since it uses more digits than its factorization.

106104739122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153562 (or 76782 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 106104739122 in words is "one hundred six billion, one hundred four million, seven hundred thirty-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 76777 153554 230331 460662 690993 1381986 5894707729 11789415458 17684123187 35368246374 53052369561 106104739122