106501207110 has 128 divisors (see below), whose sum is σ = 283646361600. Its totient is φ = 25483455360.

The previous prime is 106501207067. The next prime is 106501207121. The reversal of 106501207110 is 11702105601.

106501207110 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 2×106501207110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766371 + ... + 894609.

It is an arithmetic number, because the mean of its divisors is an integer number (2215987200).

Almost surely, 2^106501207110 is an apocalyptic number.

106501207110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106501207110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141823180800).

106501207110 is an abundant number, since it is smaller than the sum of its proper divisors (177145154490).

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

106501207110 is a wasteful number, since it uses less digits than its factorization.

106501207110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128346.

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 106501207110 in words is "one hundred six billion, five hundred one million, two hundred seven thousand, one hundred ten".