101805598440 has 768 divisors, whose sum is σ = 425324390400. Its totient is φ = 21326644224.

The previous prime is 101805598423. The next prime is 101805598469. The reversal of 101805598440 is 44895508101.

It is a happy number.

101805598440 is a `hidden beast` number, since 1 + 0 + 18 + 0 + 5 + 598 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158328759 + ... + 158329401.

It is an arithmetic number, because the mean of its divisors is an integer number (553807800).

Almost surely, 2^101805598440 is an apocalyptic number.

101805598440 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 101805598440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212662195200).

101805598440 is an abundant number, since it is smaller than the sum of its proper divisors (323518791960).

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

101805598440 is a wasteful number, since it uses less digits than its factorization.

101805598440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 101805598440 in words is "one hundred one billion, eight hundred five million, five hundred ninety-eight thousand, four hundred forty".