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102075093 = 333780559
BaseRepresentation
bin1100001010110…
…00101011010101
321010001221201000
412011120223111
5202112400333
614043453513
72346424011
oct605305325
9233057630
10102075093
115268958a
122a227299
13181bc183
14d7b1541
158e64713
hex6158ad5

102075093 has 8 divisors (see below), whose sum is σ = 151222400. Its totient is φ = 68050044.

The previous prime is 102075059. The next prime is 102075101. The reversal of 102075093 is 390570201.

It is not a de Polignac number, because 102075093 - 222 = 97880789 is a prime.

It is a super-2 number, since 2×1020750932 = 20838649221917298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3780559 = 102075093 / (1 + 0 + 2 + 0 + 7 + 5 + 0 + 9 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102075013) 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 7 ways as a sum of consecutive naturals, for example, 1890253 + ... + 1890306.

It is an arithmetic number, because the mean of its divisors is an integer number (18902800).

Almost surely, 2102075093 is an apocalyptic number.

It is an amenable number.

102075093 is a deficient number, since it is larger than the sum of its proper divisors (49147307).

102075093 is an equidigital number, since it uses as much as digits as its factorization.

102075093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780568 (or 3780562 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 102075093 is about 10103.2219118457. The cubic root of 102075093 is about 467.3475045724.

The spelling of 102075093 in words is "one hundred two million, seventy-five thousand, ninety-three".

Divisors: 1 3 9 27 3780559 11341677 34025031 102075093