101780189280 has 576 divisors, whose sum is σ = 452073000960. Its totient is φ = 21148646400.

The previous prime is 101780189221. The next prime is 101780189293. The reversal of 101780189280 is 82981087101.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 2306625 + ... + 2350335.

It is an arithmetic number, because the mean of its divisors is an integer number (784848960).

Almost surely, 2^101780189280 is an apocalyptic number.

101780189280 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 101780189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226036500480).

101780189280 is an abundant number, since it is smaller than the sum of its proper divisors (350292811680).

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

101780189280 is a wasteful number, since it uses less digits than its factorization.

101780189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43760 (or 43739 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 101780189280 in words is "one hundred one billion, seven hundred eighty million, one hundred eighty-nine thousand, two hundred eighty".