106235546332110 has 192 divisors, whose sum is σ = 278397319272192. Its totient is φ = 25931837488128.

The previous prime is 106235546332051. The next prime is 106235546332147. The reversal of 106235546332110 is 11233645532601.

It is a happy number.

It is a super-2 number, since 2×106235546332110² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 657695977 + ... + 657857483.

It is an arithmetic number, because the mean of its divisors is an integer number (1449986037876).

Almost surely, 2^{106235546332110} is an apocalyptic number.

106235546332110 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 106235546332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139198659636096).

106235546332110 is an abundant number, since it is smaller than the sum of its proper divisors (172161772940082).

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

106235546332110 is a wasteful number, since it uses less digits than its factorization.

106235546332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162627 (or 162614 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 106235546332110 in words is "one hundred six trillion, two hundred thirty-five billion, five hundred forty-six million, three hundred thirty-two thousand, one hundred ten".