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106062635 = 577989431
BaseRepresentation
bin1100101001001…
…10001100101011
321101120112120202
412110212030223
5204123001020
614305142415
72425342340
oct624461453
9241515522
10106062635
1154962478
122b62aa0b
1318c87173
141012c7c7
1594a0e75
hex652632b

106062635 has 32 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 70836480.

The previous prime is 106062623. The next prime is 106062641. The reversal of 106062635 is 536260601.

106062635 = 2492 + 2502 + ... + 6932.

It is not a de Polignac number, because 106062635 - 28 = 106062379 is a prime.

It is a super-2 number, since 2×1060626352 = 22498565086286450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106062598 and 106062607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245870 + ... + 246300.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600).

Almost surely, 2106062635 is an apocalyptic number.

106062635 is a deficient number, since it is larger than the sum of its proper divisors (43236565).

106062635 is an equidigital number, since it uses as much as digits as its factorization.

106062635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106062635 is about 10298.6715162685. The cubic root of 106062635 is about 473.3555470740.

The spelling of 106062635 in words is "one hundred six million, sixty-two thousand, six hundred thirty-five".

Divisors: 1 5 7 35 79 89 395 431 445 553 623 2155 2765 3017 3115 7031 15085 34049 35155 38359 49217 170245 191795 238343 246085 268513 1191715 1342565 3030361 15151805 21212527 106062635