101752535040 has 384 divisors, whose sum is σ = 361921996800. Its totient is φ = 24235868160.

The previous prime is 101752535033. The next prime is 101752535041. The reversal of 101752535040 is 40535257101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 101752534992 and 101752535010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101752535041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12376051 + ... + 12384269.

It is an arithmetic number, because the mean of its divisors is an integer number (942505200).

Almost surely, 2^101752535040 is an apocalyptic number.

101752535040 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 101752535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180960998400).

101752535040 is an abundant number, since it is smaller than the sum of its proper divisors (260169461760).

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

101752535040 is a wasteful number, since it uses less digits than its factorization.

101752535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 101752535040 in words is "one hundred one billion, seven hundred fifty-two million, five hundred thirty-five thousand, forty".