101944023552 has 400 divisors, whose sum is σ = 348976955712. Its totient is φ = 29023764480.

The previous prime is 101944023551. The next prime is 101944023583. The reversal of 101944023552 is 255320449101.

101944023552 is a `hidden beast` number, since 10 + 1 + 94 + 4 + 0 + 2 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101944023551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125701227 + ... + 125702037.

Almost surely, 2^101944023552 is an apocalyptic number.

101944023552 is a gapful number since it is divisible by the number (12) 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 101944023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174488477856).

101944023552 is an abundant number, since it is smaller than the sum of its proper divisors (247032932160).

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

101944023552 is an frugal number, since it uses more digits than its factorization.

101944023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 101944023552 in words is "one hundred one billion, nine hundred forty-four million, twenty-three thousand, five hundred fifty-two".