101905732240 has 80 divisors (see below), whose sum is σ = 255830500800. Its totient is φ = 37527307776.

The previous prime is 101905732211. The next prime is 101905732273. The reversal of 101905732240 is 42237509101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101905732196 and 101905732205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264891 + ... + 523429.

It is an arithmetic number, because the mean of its divisors is an integer number (3197881260).

Almost surely, 2^101905732240 is an apocalyptic number.

101905732240 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 101905732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915250400).

101905732240 is an abundant number, since it is smaller than the sum of its proper divisors (153924768560).

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

101905732240 is a wasteful number, since it uses less digits than its factorization.

101905732240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258944 (or 258938 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 101905732240 in words is "one hundred one billion, nine hundred five million, seven hundred thirty-two thousand, two hundred forty".