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102660093 = 3217673997
BaseRepresentation
bin1100001111001…
…11011111111101
321011011200011200
412013213133331
5202240110333
614104210113
72354411364
oct607473775
9234150150
10102660093
1152a49058
122a469939
1318365523
14d8c47db
15902cc13
hex61e77fd

102660093 has 24 divisors (see below), whose sum is σ = 157400568. Its totient is φ = 64253952.

The previous prime is 102660091. The next prime is 102660101. The reversal of 102660093 is 390066201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37970244 + 64689849 = 6162^2 + 8043^2 .

It is not a de Polignac number, because 102660093 - 21 = 102660091 is a prime.

It is a super-3 number, since 3×1026600933 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102660091) 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, 102471 + ... + 103467.

It is an arithmetic number, because the mean of its divisors is an integer number (6558357).

Almost surely, 2102660093 is an apocalyptic number.

It is an amenable number.

102660093 is a deficient number, since it is larger than the sum of its proper divisors (54740475).

102660093 is a wasteful number, since it uses less digits than its factorization.

102660093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 102660093 is about 10132.1317105533. The cubic root of 102660093 is about 468.2386055912.

The spelling of 102660093 in words is "one hundred two million, six hundred sixty thousand, ninety-three".

Divisors: 1 3 9 17 51 153 673 997 2019 2991 6057 8973 11441 16949 34323 50847 102969 152541 670981 2012943 6038829 11406677 34220031 102660093