101830536000 has 672 divisors, whose sum is σ = 385122456576. Its totient is φ = 25643520000.

The previous prime is 101830535953. The next prime is 101830536001. The reversal of 101830536000 is 635038101.

101830536000 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 3 + 0 + 53 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101830536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95975470 + ... + 95976530.

Almost surely, 2^101830536000 is an apocalyptic number.

101830536000 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 101830536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192561228288).

101830536000 is an abundant number, since it is smaller than the sum of its proper divisors (283291920576).

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

101830536000 is a wasteful number, since it uses less digits than its factorization.

101830536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 101830536000 in words is "one hundred one billion, eight hundred thirty million, five hundred thirty-six thousand".