101945483820 has 432 divisors, whose sum is σ = 353050064640. Its totient is φ = 24623077248.

The previous prime is 101945483753. The next prime is 101945483851. The reversal of 101945483820 is 28384549101.

101945483820 is a `hidden beast` number, since 1 + 0 + 1 + 94 + 5 + 483 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 48846817 + ... + 48848903.

It is an arithmetic number, because the mean of its divisors is an integer number (817245520).

Almost surely, 2^101945483820 is an apocalyptic number.

101945483820 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 101945483820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176525032320).

101945483820 is an abundant number, since it is smaller than the sum of its proper divisors (251104580820).

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

101945483820 is a wasteful number, since it uses less digits than its factorization.

101945483820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 101945483820 in words is "one hundred one billion, nine hundred forty-five million, four hundred eighty-three thousand, eight hundred twenty".