106003115568960 has 448 divisors, whose sum is σ = 344133778120704. Its totient is φ = 27635368550400.

The previous prime is 106003115568937. The next prime is 106003115568967. The reversal of 106003115568960 is 69865511300601.

106003115568960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106003115568960² (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 (106003115568967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17634852355 + ... + 17634858365.

Almost surely, 2^{106003115568960} is an apocalyptic number.

106003115568960 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 106003115568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172066889060352).

106003115568960 is an abundant number, since it is smaller than the sum of its proper divisors (238130662551744).

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

106003115568960 is a wasteful number, since it uses less digits than its factorization.

106003115568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 106003115568960 in words is "one hundred six trillion, three billion, one hundred fifteen million, five hundred sixty-eight thousand, nine hundred sixty".