101931540480 has 2016 divisors, whose sum is σ = 489476856960. Its totient is φ = 20065812480.

The previous prime is 101931540449. The next prime is 101931540493. The reversal of 101931540480 is 84045139101.

101931540480 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 31 + 540 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364817911 + ... + 5364817929.

It is an arithmetic number, because the mean of its divisors is an integer number (242796060).

Almost surely, 2^101931540480 is an apocalyptic number.

101931540480 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 101931540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738428480).

101931540480 is an abundant number, since it is smaller than the sum of its proper divisors (387545316480).

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

101931540480 is an equidigital number, since it uses as much as digits as its factorization.

101931540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 101931540480 its reverse (84045139101), we get a palindrome (185976679581).

It can be divided in two parts, 101931 and 540480, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 101931540480 in words is "one hundred one billion, nine hundred thirty-one million, five hundred forty thousand, four hundred eighty".