101776768704 has 224 divisors, whose sum is σ = 325356362240. Its totient is φ = 31011185664.

The previous prime is 101776768673. The next prime is 101776768747. The reversal of 101776768704 is 407867677101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291799 + ... + 2335785.

It is an arithmetic number, because the mean of its divisors is an integer number (1452483760).

Almost surely, 2^101776768704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101776768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162678181120).

101776768704 is an abundant number, since it is smaller than the sum of its proper divisors (223579593536).

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

101776768704 is a wasteful number, since it uses less digits than its factorization.

101776768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44124 (or 44108 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 101776768704 in words is "one hundred one billion, seven hundred seventy-six million, seven hundred sixty-eight thousand, seven hundred four".