101806144888 has 128 divisors (see below), whose sum is σ = 231979968000. Its totient is φ = 40915445760.

The previous prime is 101806144877. The next prime is 101806144889. The reversal of 101806144888 is 888441608101.

It is a super-2 number, since 2×101806144888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101806144889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48733348 + ... + 48735436.

It is an arithmetic number, because the mean of its divisors is an integer number (1812343500).

Almost surely, 2^101806144888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101806144888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115989984000).

101806144888 is an abundant number, since it is smaller than the sum of its proper divisors (130173823112).

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

101806144888 is a wasteful number, since it uses less digits than its factorization.

101806144888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 49.

The spelling of 101806144888 in words is "one hundred one billion, eight hundred six million, one hundred forty-four thousand, eight hundred eighty-eight".