101806108320 has 288 divisors, whose sum is σ = 374020633728. Its totient is φ = 23209224192.

The previous prime is 101806108309. The next prime is 101806108331. The reversal of 101806108320 is 23801608101.

It is an interprime number because it is at equal distance from previous prime (101806108309) and next prime (101806108331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9331989 + ... + 9342891.

It is an arithmetic number, because the mean of its divisors is an integer number (1298682756).

Almost surely, 2^101806108320 is an apocalyptic number.

101806108320 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 101806108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187010316864).

101806108320 is an abundant number, since it is smaller than the sum of its proper divisors (272214525408).

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

101806108320 is a wasteful number, since it uses less digits than its factorization.

101806108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 101806108320 in words is "one hundred one billion, eight hundred six million, one hundred eight thousand, three hundred twenty".