106020896932848 has 160 divisors (see below), whose sum is σ = 288963382659840. Its totient is φ = 33403616040960.

The previous prime is 106020896932771. The next prime is 106020896932849. The reversal of 106020896932848 is 848239698020601.

It is a super-2 number, since 2×106020896932848² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106020896932849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 705709836 + ... + 705860052.

It is an arithmetic number, because the mean of its divisors is an integer number (1806021141624).

Almost surely, 2^{106020896932848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106020896932848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144481691329920).

106020896932848 is an abundant number, since it is smaller than the sum of its proper divisors (182942485726992).

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

106020896932848 is a wasteful number, since it uses less digits than its factorization.

106020896932848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152015 (or 152009 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 106020896932848 in words is "one hundred six trillion, twenty billion, eight hundred ninety-six million, nine hundred thirty-two thousand, eight hundred forty-eight".