101532557808 has 720 divisors, whose sum is σ = 351300709760. Its totient is φ = 28267937280.

The previous prime is 101532557767. The next prime is 101532557813. The reversal of 101532557808 is 808755235101.

101532557808 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 25 + 578 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330724791 + ... + 330725097.

Almost surely, 2^101532557808 is an apocalyptic number.

101532557808 is a gapful number since it is divisible by the number (18) 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 101532557808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175650354880).

101532557808 is an abundant number, since it is smaller than the sum of its proper divisors (249768151952).

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

101532557808 is a wasteful number, since it uses less digits than its factorization.

101532557808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

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

The spelling of 101532557808 in words is "one hundred one billion, five hundred thirty-two million, five hundred fifty-seven thousand, eight hundred eight".