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106106056104 = 233171092385907
BaseRepresentation
bin110001011010001101…
…0011110110110101000
3101010212201021010112210
41202310122132312220
53214301122243404
6120424445005120
710444256411226
oct1426432366650
9333781233483
10106106056104
1140aaa114464
12186928537a0
13a00c85c6a9
1451c7d99b16
152b60321689
hex18b469eda8

106106056104 has 64 divisors (see below), whose sum is σ = 283445870400. Its totient is φ = 32982764544.

The previous prime is 106106056081. The next prime is 106106056117. The reversal of 106106056104 is 401650601601.

It is a super-2 number, since 2×1061060561042 (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 15 ways as a sum of consecutive naturals, for example, 1148482 + ... + 1237425.

It is an arithmetic number, because the mean of its divisors is an integer number (4428841725).

Almost surely, 2106106056104 is an apocalyptic number.

It is an amenable number.

106106056104 is an abundant number, since it is smaller than the sum of its proper divisors (177339814296).

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

106106056104 is a wasteful number, since it uses less digits than its factorization.

106106056104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386042 (or 2386038 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 106106056104 its reverse (401650601601), we get a palindrome (507756657705).

The spelling of 106106056104 in words is "one hundred six billion, one hundred six million, fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1308 1853 2616 3706 5559 7412 11118 14824 22236 44472 2385907 4771814 7157721 9543628 14315442 19087256 28630884 40560419 57261768 81120838 121681257 162241676 243362514 260063863 324483352 486725028 520127726 780191589 973450056 1040255452 1560383178 2080510904 3120766356 4421085671 6241532712 8842171342 13263257013 17684342684 26526514026 35368685368 53053028052 106106056104