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102087941 = 179761909
BaseRepresentation
bin1100001010110…
…11110100000101
321010002121022212
412011123310011
5202113303231
614044033205
72346506324
oct605336405
9233077285
10102087941
11526981aa
122a232805
13181c4c87
14d7b60bb
158e6842b
hex615bd05

102087941 has 8 divisors (see below), whose sum is σ = 109209240. Its totient is φ = 95090688.

The previous prime is 102087899. The next prime is 102087943. The reversal of 102087941 is 149780201.

It can be written as a sum of positive squares in 4 ways, for example, as 51179716 + 50908225 = 7154^2 + 7135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102087941 - 222 = 97893637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102087898 and 102087907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102087943) 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, 29306 + ... + 32603.

It is an arithmetic number, because the mean of its divisors is an integer number (13651155).

Almost surely, 2102087941 is an apocalyptic number.

It is an amenable number.

102087941 is a deficient number, since it is larger than the sum of its proper divisors (7121299).

102087941 is an equidigital number, since it uses as much as digits as its factorization.

102087941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62023.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 102087941 is about 10103.8577286104. The cubic root of 102087941 is about 467.3671118003.

The spelling of 102087941 in words is "one hundred two million, eighty-seven thousand, nine hundred forty-one".

Divisors: 1 17 97 1649 61909 1052453 6005173 102087941