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126108 = 223231113
BaseRepresentation
bin11110110010011100
320101222200
4132302130
513013413
62411500
71033443
oct366234
9211880
10126108
1186824
1260b90
1345528
1433d5a
1527573
hex1ec9c

126108 has 36 divisors (see below), whose sum is σ = 331968. Its totient is φ = 40320.

The previous prime is 126107. The next prime is 126127. The reversal of 126108 is 801621.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060 + ... + 1172.

126108 is a Friedman number, since it can be written as 21018*6, using all its digits and the basic arithmetic operations.

2126108 is an apocalyptic number.

126108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165984).

126108 is an abundant number, since it is smaller than the sum of its proper divisors (205860).

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

126108 is a wasteful number, since it uses less digits than its factorization.

126108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 126108 is about 355.1168821670. The cubic root of 126108 is about 50.1472989675.

Adding to 126108 its reverse (801621), we get a palindrome (927729).

The spelling of 126108 in words is "one hundred twenty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 113 124 186 226 279 339 372 452 558 678 1017 1116 1356 2034 3503 4068 7006 10509 14012 21018 31527 42036 63054 126108