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106526412025 = 5211439882389
BaseRepresentation
bin110001100110101111…
…0000000110011111001
3101011222000020102110121
41203031132000303321
53221131230141100
6120534302413241
710460552363545
oct1431536006371
9334860212417
10106526412025
11411a5423050
121878b591221
13a07897a3c7
145227b3ca25
152b871a651a
hex18cd780cf9

106526412025 has 24 divisors (see below), whose sum is σ = 144429595200. Its totient is φ = 77297188800.

The previous prime is 106526412023. The next prime is 106526412049. The reversal of 106526412025 is 520214625601.

It is not a de Polignac number, because 106526412025 - 21 = 106526412023 is a prime.

It is a super-2 number, since 2×1065264120252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106526412023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 320470 + ... + 561919.

It is an arithmetic number, because the mean of its divisors is an integer number (6017899800).

Almost surely, 2106526412025 is an apocalyptic number.

It is an amenable number.

106526412025 is a deficient number, since it is larger than the sum of its proper divisors (37903183175).

106526412025 is a wasteful number, since it uses less digits than its factorization.

106526412025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882849 (or 882844 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 106526412025 in words is "one hundred six billion, five hundred twenty-six million, four hundred twelve thousand, twenty-five".

Divisors: 1 5 11 25 55 275 439 2195 4829 10975 24145 120725 882389 4411945 9706279 22059725 48531395 242656975 387368771 1936843855 4261056481 9684219275 21305282405 106526412025