108001620 has 48 divisors (see below), whose sum is σ = 336006720. Its totient is φ = 28800288.

The previous prime is 108001609. The next prime is 108001633. The reversal of 108001620 is 26100801.

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

108001620 is a modest number, since divided by 1620 gives 1080 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 108001593 and 108001602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99462 + ... + 100541.

It is an arithmetic number, because the mean of its divisors is an integer number (7000140).

Almost surely, 2^108001620 is an apocalyptic number.

108001620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108001620 is an abundant number, since it is smaller than the sum of its proper divisors (228005100).

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

108001620 is a wasteful number, since it uses less digits than its factorization.

108001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200021 (or 200013 counting only the distinct ones).

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

The square root of 108001620 is about 10392.3827874073. The cubic root of 108001620 is about 476.2226966801. Note that the first 3 decimals are identical.

The spelling of 108001620 in words is "one hundred eight million, one thousand, six hundred twenty".