106545483085120 has 224 divisors, whose sum is σ = 269750717596800. Its totient is φ = 39969174528000.

The previous prime is 106545483085103. The next prime is 106545483085259. The reversal of 106545483085120 is 21580384545601.

It is a super-2 number, since 2×106545483085120² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6565121166 + ... + 6565137394.

Almost surely, 2^{106545483085120} is an apocalyptic number.

106545483085120 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 106545483085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134875358798400).

106545483085120 is an abundant number, since it is smaller than the sum of its proper divisors (163205234511680).

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

106545483085120 is a wasteful number, since it uses less digits than its factorization.

106545483085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27057 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 106545483085120 in words is "one hundred six trillion, five hundred forty-five billion, four hundred eighty-three million, eighty-five thousand, one hundred twenty".