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106088661 = 32710316349
BaseRepresentation
bin1100101001011…
…00100011010101
321101121212021200
412110230203111
5204124314121
614305503113
72425511250
oct624544325
9241555250
10106088661
115497aa88
122b641a99
1318c95c73
1410138097
1594a8a26
hex652c8d5

106088661 has 24 divisors (see below), whose sum is σ = 176841600. Its totient is φ = 60029856.

The previous prime is 106088659. The next prime is 106088663. The reversal of 106088661 is 166880601.

It is an interprime number because it is at equal distance from previous prime (106088659) and next prime (106088663).

It is not a de Polignac number, because 106088661 - 21 = 106088659 is a prime.

It is a super-2 number, since 2×1060886612 = 22509607985545842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106088663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1686 + ... + 14663.

It is an arithmetic number, because the mean of its divisors is an integer number (7368400).

Almost surely, 2106088661 is an apocalyptic number.

It is an amenable number.

106088661 is a deficient number, since it is larger than the sum of its proper divisors (70752939).

106088661 is a wasteful number, since it uses less digits than its factorization.

106088661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16465 (or 16462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106088661 is about 10299.9349997949. The cubic root of 106088661 is about 473.3942617572.

The spelling of 106088661 in words is "one hundred six million, eighty-eight thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 63 103 309 721 927 2163 6489 16349 49047 114443 147141 343329 1029987 1683947 5051841 11787629 15155523 35362887 106088661