101748382400 has 504 divisors, whose sum is σ = 303630762816. Its totient is φ = 33434419200.

The previous prime is 101748382369. The next prime is 101748382403. The reversal of 101748382400 is 4283847101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101748382403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195294140 + ... + 195294660.

Almost surely, 2^101748382400 is an apocalyptic number.

101748382400 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 101748382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151815381408).

101748382400 is an abundant number, since it is smaller than the sum of its proper divisors (201882380416).

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

101748382400 is a wasteful number, since it uses less digits than its factorization.

101748382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 101748382400 in words is "one hundred one billion, seven hundred forty-eight million, three hundred eighty-two thousand, four hundred".