101883243744 has 336 divisors, whose sum is σ = 307882360800. Its totient is φ = 33164328960.

The previous prime is 101883243739. The next prime is 101883243751. The reversal of 101883243744 is 447342388101.

101883243744 is a `hidden beast` number, since 1 + 0 + 188 + 32 + 437 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101883243744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 226911232 + ... + 226911680.

It is an arithmetic number, because the mean of its divisors is an integer number (916316550).

Almost surely, 2^101883243744 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 101883243744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941180400).

101883243744 is an abundant number, since it is smaller than the sum of its proper divisors (205999117056).

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

101883243744 is an equidigital number, since it uses as much as digits as its factorization.

101883243744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 101883243744 in words is "one hundred one billion, eight hundred eighty-three million, two hundred forty-three thousand, seven hundred forty-four".