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106032325 = 5272101857
BaseRepresentation
bin1100101000111…
…10110011000101
321101112000000011
412110132303011
5204121013300
614304350221
72425155100
oct624366305
9241460004
10106032325
1154941723
122b615371
1318c76429
1410121737
159496eba
hex651ecc5

106032325 has 36 divisors (see below), whose sum is σ = 154640772. Its totient is φ = 71904000.

The previous prime is 106032287. The next prime is 106032347. The reversal of 106032325 is 523230601.

It can be written as a sum of positive squares in 6 ways, for example, as 16597476 + 89434849 = 4074^2 + 9457^2 .

It is not a de Polignac number, because 106032325 - 213 = 106024133 is a prime.

It is a super-2 number, since 2×1060323252 = 22485707889811250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106032296 and 106032305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123297 + ... + 124153.

It is an arithmetic number, because the mean of its divisors is an integer number (4295577).

Almost surely, 2106032325 is an apocalyptic number.

It is an amenable number.

106032325 is a deficient number, since it is larger than the sum of its proper divisors (48608447).

106032325 is a wasteful number, since it uses less digits than its factorization.

106032325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 106032325 is about 10297.1998620984. The cubic root of 106032325 is about 473.3104517912.

Adding to 106032325 its reverse (523230601), we get a palindrome (629262926).

The spelling of 106032325 in words is "one hundred six million, thirty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 101 175 245 505 707 857 1225 2525 3535 4285 4949 5999 17675 21425 24745 29995 41993 86557 123725 149975 209965 432785 605899 1049825 2163925 3029495 4241293 15147475 21206465 106032325