101060784000 has 1536 divisors, whose sum is σ = 437872780800. Its totient is φ = 22892544000.

The previous prime is 101060783987. The next prime is 101060784001. The reversal of 101060784000 is 487060101.

It is a happy number.

101060784000 is a `hidden beast` number, since 1 + 0 + 10 + 607 + 8 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101060784001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727055931 + ... + 727056069.

It is an arithmetic number, because the mean of its divisors is an integer number (285073425).

Almost surely, 2^101060784000 is an apocalyptic number.

101060784000 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 101060784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218936390400).

101060784000 is an abundant number, since it is smaller than the sum of its proper divisors (336811996800).

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

101060784000 is a wasteful number, since it uses less digits than its factorization.

101060784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 101060784000 in words is "one hundred one billion, sixty million, seven hundred eighty-four thousand".