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102625 = 53821
BaseRepresentation
bin11001000011100001
312012202221
4121003201
511241000
62111041
7605125
oct310341
9165687
10102625
1170116
124b481
1337933
1429585
152061a
hex190e1

102625 has 8 divisors (see below), whose sum is σ = 128232. Its totient is φ = 82000.

The previous prime is 102611. The next prime is 102643. The reversal of 102625 is 526201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 91809 = 104^2 + 303^2 .

It is not a de Polignac number, because 102625 - 25 = 102593 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102599 and 102608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (16029).

2102625 is an apocalyptic number.

It is an amenable number.

102625 is a deficient number, since it is larger than the sum of its proper divisors (25607).

102625 is an frugal number, since it uses more digits than its factorization.

102625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102625 is about 320.3513695928. The cubic root of 102625 is about 46.8185245778.

Adding to 102625 its reverse (526201), we get a palindrome (628826).

It can be divided in two parts, 102 and 625, that added together give a palindrome (727).

The spelling of 102625 in words is "one hundred two thousand, six hundred twenty-five".

Divisors: 1 5 25 125 821 4105 20525 102625