101506920984 has 480 divisors, whose sum is σ = 352534913280. Its totient is φ = 27113232384.

The previous prime is 101506920973. The next prime is 101506920997. The reversal of 101506920984 is 489029605101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93382089 + ... + 93383175.

It is an arithmetic number, because the mean of its divisors is an integer number (734447736).

Almost surely, 2^101506920984 is an apocalyptic number.

101506920984 is a gapful number since it is divisible by the number (14) 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 101506920984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176267456640).

101506920984 is an abundant number, since it is smaller than the sum of its proper divisors (251027992296).

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

101506920984 is a wasteful number, since it uses less digits than its factorization.

101506920984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 101506920984 in words is "one hundred one billion, five hundred six million, nine hundred twenty thousand, nine hundred eighty-four".