101325530880 has 720 divisors, whose sum is σ = 417581841600. Its totient is φ = 22980132864.

The previous prime is 101325530821. The next prime is 101325530923. The reversal of 101325530880 is 88035523101.

101325530880 is a `hidden beast` number, since 10 + 1 + 32 + 5 + 530 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×101325530880² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 108137772 + ... + 108138708.

It is an arithmetic number, because the mean of its divisors is an integer number (579974780).

Almost surely, 2^101325530880 is an apocalyptic number.

101325530880 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 101325530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208790920800).

101325530880 is an abundant number, since it is smaller than the sum of its proper divisors (316256310720).

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

101325530880 is an equidigital number, since it uses as much as digits as its factorization.

101325530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 101325530880 in words is "one hundred one billion, three hundred twenty-five million, five hundred thirty thousand, eight hundred eighty".