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105104054013 = 3713138205763
BaseRepresentation
bin110000111100010110…
…0001001011011111101
3101001021212211011002020
41201320230021123331
53210223114212023
6120141212350353
710410401501310
oct1417054113375
9331255734066
10105104054013
1140635553462
12184531753b9
139bb00a114a
145130c8a977
152b02396de3
hex1878b096fd

105104054013 has 16 divisors (see below), whose sum is σ = 161381147136. Its totient is φ = 59600988720.

The previous prime is 105104053981. The next prime is 105104054051. The reversal of 105104054013 is 310450401501.

It is a happy number.

It is not a de Polignac number, because 105104054013 - 25 = 105104053981 is a prime.

It is a super-2 number, since 2×1051040540132 (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 (105104054813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19100131 + ... + 19105632.

It is an arithmetic number, because the mean of its divisors is an integer number (10086321696).

Almost surely, 2105104054013 is an apocalyptic number.

It is an amenable number.

105104054013 is a deficient number, since it is larger than the sum of its proper divisors (56277093123).

105104054013 is a wasteful number, since it uses less digits than its factorization.

105104054013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38205904.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105104054013 its reverse (310450401501), we get a palindrome (415554455514).

The spelling of 105104054013 in words is "one hundred five billion, one hundred four million, fifty-four thousand, thirteen".

Divisors: 1 3 7 21 131 393 917 2751 38205763 114617289 267440341 802321023 5004954953 15014864859 35034684671 105104054013