106225032512 has 56 divisors (see below), whose sum is σ = 217675675392. Its totient is φ = 51378969600.

The previous prime is 106225032497. The next prime is 106225032523. The reversal of 106225032512 is 215230522601.

It is a super-2 number, since 2×106225032512² (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 7 ways as a sum of consecutive naturals, for example, 5849687 + ... + 5867817.

It is an arithmetic number, because the mean of its divisors is an integer number (3887065632).

Almost surely, 2^106225032512 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 106225032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108837837696).

106225032512 is an abundant number, since it is smaller than the sum of its proper divisors (111450642880).

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

106225032512 is a wasteful number, since it uses less digits than its factorization.

106225032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21127 (or 21117 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 106225032512 in words is "one hundred six billion, two hundred twenty-five million, thirty-two thousand, five hundred twelve".