101030671906560 has 1728 divisors, whose sum is σ = 414303821568000. Its totient is φ = 23346572820480.

The previous prime is 101030671906559. The next prime is 101030671906573. The reversal of 101030671906560 is 65609176030101.

101030671906560 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 0 + 6 + 71 + 9 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7838512596 + ... + 7838525484.

It is an arithmetic number, because the mean of its divisors is an integer number (239759156000).

Almost surely, 2^{101030671906560} is an apocalyptic number.

101030671906560 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 101030671906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207151910784000).

101030671906560 is an abundant number, since it is smaller than the sum of its proper divisors (313273149661440).

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

101030671906560 is a wasteful number, since it uses less digits than its factorization.

101030671906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 101030671906560 in words is "one hundred one trillion, thirty billion, six hundred seventy-one million, nine hundred six thousand, five hundred sixty".