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106036077 = 37732632
BaseRepresentation
bin1100101000111…
…11101101101101
321101112012011010
412110133231231
5204121123302
614304415433
72425202040
oct624375555
9241465133
10106036077
1154944524
122b617579
1318c78054
1410122c57
15949816c
hex651fb6d

106036077 has 24 divisors (see below), whose sum is σ = 164417344. Its totient is φ = 59534784.

The previous prime is 106036057. The next prime is 106036079. The reversal of 106036077 is 770630601.

It is not a de Polignac number, because 106036077 - 211 = 106034029 is a prime.

It is a super-2 number, since 2×1060360772 = 22487299251099858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106036079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403048 + ... + 403310.

Almost surely, 2106036077 is an apocalyptic number.

It is an amenable number.

106036077 is a deficient number, since it is larger than the sum of its proper divisors (58381267).

106036077 is an frugal number, since it uses more digits than its factorization.

106036077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 106036077 is about 10297.3820459377. The cubic root of 106036077 is about 473.3160344909.

Adding to 106036077 its reverse (770630601), we get a palindrome (876666678).

The spelling of 106036077 in words is "one hundred six million, thirty-six thousand, seventy-seven".

Divisors: 1 3 7 21 73 219 263 511 789 1533 1841 5523 19199 57597 69169 134393 207507 403179 484183 1452549 5049337 15148011 35345359 106036077