101909181920 has 192 divisors, whose sum is σ = 313751926656. Its totient is φ = 30355292160.

The previous prime is 101909181889. The next prime is 101909181953. The reversal of 101909181920 is 29181909101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41660 + ... + 453380.

It is an arithmetic number, because the mean of its divisors is an integer number (1634124618).

Almost surely, 2^101909181920 is an apocalyptic number.

101909181920 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 101909181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156875963328).

101909181920 is an abundant number, since it is smaller than the sum of its proper divisors (211842744736).

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

101909181920 is a wasteful number, since it uses less digits than its factorization.

101909181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411773 (or 411765 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 41.

It can be divided in two parts, 1019091 and 81920, that added together give a palindrome (1101011).

The spelling of 101909181920 in words is "one hundred one billion, nine hundred nine million, one hundred eighty-one thousand, nine hundred twenty".