101509087680 has 1792 divisors, whose sum is σ = 489778974720. Its totient is φ = 19269550080.

The previous prime is 101509087679. The next prime is 101509087699. The reversal of 101509087680 is 86780905101.

101509087680 is a `hidden beast` number, since 1 + 0 + 1 + 509 + 0 + 87 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1046485392 + ... + 1046485488.

It is an arithmetic number, because the mean of its divisors is an integer number (273314160).

Almost surely, 2^101509087680 is an apocalyptic number.

101509087680 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 101509087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244889487360).

101509087680 is an abundant number, since it is smaller than the sum of its proper divisors (388269887040).

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

101509087680 is a wasteful number, since it uses less digits than its factorization.

101509087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 101509087680 in words is "one hundred one billion, five hundred nine million, eighty-seven thousand, six hundred eighty".