101890064640 has 576 divisors, whose sum is σ = 403367473152. Its totient is φ = 21344256000.

The previous prime is 101890064629. The next prime is 101890064663. The reversal of 101890064640 is 46460098101.

101890064640 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52764475 + ... + 52766405.

It is an arithmetic number, because the mean of its divisors is an integer number (700290752).

Almost surely, 2^101890064640 is an apocalyptic number.

101890064640 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 101890064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201683736576).

101890064640 is an abundant number, since it is smaller than the sum of its proper divisors (301477408512).

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

101890064640 is a wasteful number, since it uses less digits than its factorization.

101890064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 101890064640 in words is "one hundred one billion, eight hundred ninety million, sixty-four thousand, six hundred forty".