101778880320 has 896 divisors, whose sum is σ = 413297095680. Its totient is φ = 23357030400.

The previous prime is 101778880289. The next prime is 101778880321. The reversal of 101778880320 is 23088877101.

101778880320 is a `hidden beast` number, since 1 + 0 + 177 + 88 + 80 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101778880321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288325264 + ... + 288325616.

It is an arithmetic number, because the mean of its divisors is an integer number (461269080).

Almost surely, 2^101778880320 is an apocalyptic number.

101778880320 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 101778880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206648547840).

101778880320 is an abundant number, since it is smaller than the sum of its proper divisors (311518215360).

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

101778880320 is a wasteful number, since it uses less digits than its factorization.

101778880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 101778880320 in words is "one hundred one billion, seven hundred seventy-eight million, eight hundred eighty thousand, three hundred twenty".