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102527357 = 179776173
BaseRepresentation
bin1100001110001…
…11000101111101
321010220221002112
412013013011331
5202221333412
614101303405
72353316402
oct607070575
9233827075
10102527357
1152968359
122a404b65
1318319c9a
14d88c2a9
159003722
hex61c717d

102527357 has 8 divisors (see below), whose sum is σ = 108687096. Its totient is φ = 96381952.

The previous prime is 102527329. The next prime is 102527389. The reversal of 102527357 is 753725201.

It can be written as a sum of positive squares in 4 ways, for example, as 19971961 + 82555396 = 4469^2 + 9086^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102527357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102527317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13523 + ... + 19695.

It is an arithmetic number, because the mean of its divisors is an integer number (13585887).

Almost surely, 2102527357 is an apocalyptic number.

102527357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102527357 is a deficient number, since it is larger than the sum of its proper divisors (6159739).

102527357 is an equidigital number, since it uses as much as digits as its factorization.

102527357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 102527357 is about 10125.5793414500. The cubic root of 102527357 is about 468.0367130354.

It can be divided in two parts, 1025 and 27357, that added together give a palindrome (28382).

The spelling of 102527357 in words is "one hundred two million, five hundred twenty-seven thousand, three hundred fifty-seven".

Divisors: 1 17 977 6173 16609 104941 6031021 102527357