101808640 has 40 divisors (see below), whose sum is σ = 244108260. Its totient is φ = 40722432.

The previous prime is 101808611. The next prime is 101808667. The reversal of 101808640 is 46808101.

It can be written as a sum of positive squares in 2 ways, for example, as 94322944 + 7485696 = 9712^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101808599 and 101808608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17325 + ... + 22444.

Almost surely, 2^101808640 is an apocalyptic number.

101808640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101808640 is an abundant number, since it is smaller than the sum of its proper divisors (142299620).

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

101808640 is an frugal number, since it uses more digits than its factorization.

101808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39792 (or 39776 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 101808640 is about 10090.0267591320. The cubic root of 101808640 is about 466.9405014169.

The spelling of 101808640 in words is "one hundred one million, eight hundred eight thousand, six hundred forty".