102776920400 has 480 divisors, whose sum is σ = 343148037120. Its totient is φ = 28560384000.

The previous prime is 102776920369. The next prime is 102776920423. The reversal of 102776920400 is 4029677201.

102776920400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9943235 + ... + 9953565.

It is an arithmetic number, because the mean of its divisors is an integer number (714891744).

Almost surely, 2^102776920400 is an apocalyptic number.

102776920400 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 102776920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171574018560).

102776920400 is an abundant number, since it is smaller than the sum of its proper divisors (240371116720).

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

102776920400 is a wasteful number, since it uses less digits than its factorization.

102776920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 102776920400 in words is "one hundred two billion, seven hundred seventy-six million, nine hundred twenty thousand, four hundred".