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108168480 = 253357373

108168480 has 384 divisors, whose sum is σ = 447552000. Its totient is φ = 24385536.

The previous prime is 108168469. The next prime is 108168491. The reversal of 108168480 is 84861801.

108168480 is a `hidden beast` number, since 10 + 8 + 168 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (108168469) and next prime (108168491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481724 + ... + 1481796.

It is an arithmetic number, because the mean of its divisors is an integer number (1165500).

Almost surely, 2108168480 is an apocalyptic number.

108168480 is a gapful number since it is divisible by the number (10) 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 108168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223776000).

108168480 is an abundant number, since it is smaller than the sum of its proper divisors (339383520).

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

108168480 is an equidigital number, since it uses as much as digits as its factorization.

108168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 108168480 is about 10400.4076843170. The cubic root of 108168480 is about 476.4678214961.

The spelling of 108168480 in words is "one hundred eight million, one hundred sixty-eight thousand, four hundred eighty".