101530858752 has 864 divisors, whose sum is σ = 351413637120. Its totient is φ = 29023764480.

The previous prime is 101530858673. The next prime is 101530858753. The reversal of 101530858752 is 257858035101.

101530858752 is a `hidden beast` number, since 1 + 0 + 15 + 3 + 0 + 8 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 101530858698 and 101530858707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101530858753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622888623 + ... + 622888785.

Almost surely, 2^101530858752 is an apocalyptic number.

101530858752 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 101530858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175706818560).

101530858752 is an abundant number, since it is smaller than the sum of its proper divisors (249882778368).

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

101530858752 is a wasteful number, since it uses less digits than its factorization.

101530858752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 101530858752 in words is "one hundred one billion, five hundred thirty million, eight hundred fifty-eight thousand, seven hundred fifty-two".