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106501005610 = 25315911515059
BaseRepresentation
bin110001100101111110…
…1000110000100101010
3101011220020102122102021
41203023331012010222
53221103224134420
6120531554055054
710460123416426
oct1431375060452
9334806378367
10106501005610
114119204a90a
1218782b7a48a
13a07362321c
145224607b86
152b84d387aa
hex18cbf4612a

106501005610 has 64 divisors (see below), whose sum is σ = 201454387200. Its totient is φ = 40484232000.

The previous prime is 106501005593. The next prime is 106501005671. The reversal of 106501005610 is 16500105601.

106501005610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065010056102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21049261 + ... + 21054319.

It is an arithmetic number, because the mean of its divisors is an integer number (3147724800).

Almost surely, 2106501005610 is an apocalyptic number.

106501005610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106501005610 is a deficient number, since it is larger than the sum of its proper divisors (94953381590).

106501005610 is a wasteful number, since it uses less digits than its factorization.

106501005610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307.

The product of its (nonzero) digits is 900, while the sum is 25.

Subtracting from 106501005610 its reverse (16500105601), we obtain a palindrome (90000900009).

The spelling of 106501005610 in words is "one hundred six billion, five hundred one million, five thousand, six hundred ten".

Divisors: 1 2 5 10 31 59 62 118 155 295 310 590 1151 1829 2302 3658 5059 5755 9145 10118 11510 18290 25295 35681 50590 67909 71362 135818 156829 178405 298481 313658 339545 356810 596962 679090 784145 1492405 1568290 2105179 2984810 4210358 5822909 9252911 10525895 11645818 18505822 21051790 29114545 46264555 58229090 92529110 180510179 343551631 361020358 687103262 902550895 1717758155 1805101790 3435516310 10650100561 21300201122 53250502805 106501005610