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106132152 = 2337631739
BaseRepresentation
bin1100101001101…
…11001010111000
321101201001221110
412110313022320
5204132212102
614310440320
72426052120
oct624671270
9241631843
10106132152
11549aa725
122b6630a0
1318cac9b9
1410149c80
1594b686c
hex65372b8

106132152 has 32 divisors (see below), whose sum is σ = 303235200. Its totient is φ = 30323424.

The previous prime is 106132151. The next prime is 106132177. The reversal of 106132152 is 251231601.

It is a super-2 number, since 2×1061321522 = 22528067376302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132151) 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, 315702 + ... + 316037.

It is an arithmetic number, because the mean of its divisors is an integer number (9476100).

Almost surely, 2106132152 is an apocalyptic number.

106132152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106132152 is an abundant number, since it is smaller than the sum of its proper divisors (197103048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106132152 is a wasteful number, since it uses less digits than its factorization.

106132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631755 (or 631751 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106132152 is about 10302.0460103807. The cubic root of 106132152 is about 473.4589421760.

Adding to 106132152 its reverse (251231601), we get a palindrome (357363753).

The spelling of 106132152 in words is "one hundred six million, one hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 631739 1263478 1895217 2526956 3790434 4422173 5053912 7580868 8844346 13266519 15161736 17688692 26533038 35377384 53066076 106132152