101529066240 has 648 divisors, whose sum is σ = 412051047408. Its totient is φ = 23012720640.

The previous prime is 101529066157. The next prime is 101529066281. The reversal of 101529066240 is 42660925101.

101529066240 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 29 + 0 + 6 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 101529066195 and 101529066204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73946194 + ... + 73947566.

It is an arithmetic number, because the mean of its divisors is an integer number (635881246).

Almost surely, 2^101529066240 is an apocalyptic number.

101529066240 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 101529066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206025523704).

101529066240 is an abundant number, since it is smaller than the sum of its proper divisors (310521981168).

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

101529066240 is a wasteful number, since it uses less digits than its factorization.

101529066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 101529066240 in words is "one hundred one billion, five hundred twenty-nine million, sixty-six thousand, two hundred forty".