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108506112 = 21031113219
BaseRepresentation
bin1100111011110…
…10110000000000
321120011200101220
412131322300000
5210234143422
614433355040
72455200231
oct635726000
9246150356
10108506112
1156281280
1230408a80
1319631400
14105a7088
1597d4e5c
hex677ac00

108506112 has 264 divisors, whose sum is σ = 359616960. Its totient is φ = 28753920.

The previous prime is 108506077. The next prime is 108506141. The reversal of 108506112 is 211605801.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710839 + ... + 5710857.

Almost surely, 2108506112 is an apocalyptic number.

108506112 is a gapful number since it is divisible by the number (12) 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 108506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179808480).

108506112 is an abundant number, since it is smaller than the sum of its proper divisors (251110848).

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

108506112 is a wasteful number, since it uses less digits than its factorization.

108506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 108506112 is about 10416.6267092567. The cubic root of 108506112 is about 476.9630480013.

The spelling of 108506112 in words is "one hundred eight million, five hundred six thousand, one hundred twelve".