108006480 has 160 divisors (see below), whose sum is σ = 384261120. Its totient is φ = 27855360.

The previous prime is 108006461. The next prime is 108006499. The reversal of 108006480 is 84600801.

108006480 is a `hidden beast` number, since 10 + 8 + 0 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108006461) and next prime (108006499).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66154 + ... + 67766.

It is an arithmetic number, because the mean of its divisors is an integer number (2401632).

Almost surely, 2^108006480 is an apocalyptic number.

108006480 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 108006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192130560).

108006480 is an abundant number, since it is smaller than the sum of its proper divisors (276254640).

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

108006480 is a wasteful number, since it uses less digits than its factorization.

108006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108006480 is about 10392.6166098822. The cubic root of 108006480 is about 476.2298398063.

The spelling of 108006480 in words is "one hundred eight million, six thousand, four hundred eighty".