101965782420 has 240 divisors, whose sum is σ = 326637622080. Its totient is φ = 26621167104.

The previous prime is 101965782389. The next prime is 101965782437. The reversal of 101965782420 is 24287569101.

101965782420 is a `hidden beast` number, since 10 + 1 + 96 + 57 + 82 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16435039 + ... + 16441241.

It is an arithmetic number, because the mean of its divisors is an integer number (1360990092).

Almost surely, 2^101965782420 is an apocalyptic number.

101965782420 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 101965782420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163318811040).

101965782420 is an abundant number, since it is smaller than the sum of its proper divisors (224671839660).

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

101965782420 is a wasteful number, since it uses less digits than its factorization.

101965782420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 101965782420 in words is "one hundred one billion, nine hundred sixty-five million, seven hundred eighty-two thousand, four hundred twenty".