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105114344125 = 5372311234651
BaseRepresentation
bin110000111100101001…
…1011001101010111101
3101001022121011221110111
41201321103121222331
53210233233003000
6120142221110021
710410555116530
oct1417123315275
9331277157414
10105114344125
114064034158a
12184566b8311
139bb2264a7b
1451323a8a17
152b0322acba
hex18794d9abd

105114344125 has 64 divisors (see below), whose sum is σ = 156614455296. Its totient is φ = 68868360000.

The previous prime is 105114344113. The next prime is 105114344143. The reversal of 105114344125 is 521443411501.

It is not a de Polignac number, because 105114344125 - 29 = 105114343613 is a prime.

It is a super-2 number, since 2×1051143441252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22598050 + ... + 22602700.

It is an arithmetic number, because the mean of its divisors is an integer number (2447100864).

Almost surely, 2105114344125 is an apocalyptic number.

It is an amenable number.

105114344125 is a deficient number, since it is larger than the sum of its proper divisors (51500111171).

105114344125 is a wasteful number, since it uses less digits than its factorization.

105114344125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 105114344125 its reverse (521443411501), we get a palindrome (626557755626).

The spelling of 105114344125 in words is "one hundred five billion, one hundred fourteen million, three hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 125 161 175 575 805 875 1123 2875 4025 4651 5615 7861 20125 23255 25829 28075 32557 39305 106973 116275 129145 140375 162785 180803 196525 534865 581375 645725 748811 813925 904015 982625 2674325 3228625 3744055 4069625 4520075 5223073 13371625 18720275 22600375 26115365 36561511 93601375 120130679 130576825 182807555 600653395 652884125 840914753 914037775 3003266975 4204573765 4570188875 15016334875 21022868825 105114344125