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105425513146005 = 351311310613450811
BaseRepresentation
bin10111111110001001001010…
…010000101110011010010101
3111211021120200021111010111020
4113332021022100232122111
5102304242422331133010
61012115451230431353
731130512332025323
oct2776111220563225
9454246607433436
10105425513146005
1130656788808268
12b9a8207062559
1346a977748a630
141c0689cd1cd13
15c2c55d670470
hex5fe24a42e695

105425513146005 has 64 divisors (see below), whose sum is σ = 183281520828672. Its totient is φ = 51437521981440.

The previous prime is 105425513146003. The next prime is 105425513146027. The reversal of 105425513146005 is 500641315524501.

It is not a de Polignac number, because 105425513146005 - 21 = 105425513146003 is a prime.

It is a super-2 number, since 2×1054255131460052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105425513146003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233632050 + ... + 234082860.

It is an arithmetic number, because the mean of its divisors is an integer number (2863773762948).

Almost surely, 2105425513146005 is an apocalyptic number.

105425513146005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105425513146005 is a deficient number, since it is larger than the sum of its proper divisors (77856007682667).

105425513146005 is a wasteful number, since it uses less digits than its factorization.

105425513146005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461558.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 105425513146005 in words is "one hundred five trillion, four hundred twenty-five billion, five hundred thirteen million, one hundred forty-six thousand, five".

Divisors: 1 3 5 13 15 39 65 113 195 339 565 1469 1695 4407 7345 10613 22035 31839 53065 137969 159195 413907 450811 689845 1199269 1352433 2069535 2254055 3597807 5860543 5996345 6762165 15590497 17581629 17989035 29302715 46771491 50941643 77952485 87908145 152824929 233857455 254708215 662241359 764124645 1986724077 3311206795 4784457143 9933620385 14353371429 23922285715 62197942859 71766857145 186593828577 310989714295 540643657159 932969142885 1621930971477 2703218285795 7028367543067 8109654857385 21085102629201 35141837715335 105425513146005