101505960000 has 735 divisors, whose sum is σ = 383884735531. Its totient is φ = 26609472000.

The previous prime is 101505959981. The next prime is 101505960037. The reversal of 101505960000 is 69505101.

The square root of 101505960000 is 318600.

It is a perfect power (a square), and thus also a powerful number.

101505960000 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 0 + 59 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7958067264 + 93547892736 = 89208^2 + 305856^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1720439971 + ... + 1720440029.

Almost surely, 2^101505960000 is an apocalyptic number.

101505960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101505960000 is the 318600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101505960000

101505960000 is an abundant number, since it is smaller than the sum of its proper divisors (282378775531).

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

101505960000 is an frugal number, since it uses more digits than its factorization.

101505960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 101505960000 in words is "one hundred one billion, five hundred five million, nine hundred sixty thousand".