10291114095620 has 96 divisors (see below), whose sum is σ = 23307597936000. Its totient is φ = 3804025420800.

The previous prime is 10291114095571. The next prime is 10291114095629. The reversal of 10291114095620 is 2659041119201.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (10291114095629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96714206 + ... + 96820554.

It is an arithmetic number, because the mean of its divisors is an integer number (242787478500).

Almost surely, 2^{10291114095620} is an apocalyptic number.

10291114095620 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 10291114095620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653798968000).

10291114095620 is an abundant number, since it is smaller than the sum of its proper divisors (13016483840380).

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

10291114095620 is a wasteful number, since it uses less digits than its factorization.

10291114095620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112629 (or 112627 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 10291114095620 in words is "ten trillion, two hundred ninety-one billion, one hundred fourteen million, ninety-five thousand, six hundred twenty".