106212625512 has 384 divisors, whose sum is σ = 327608064000. Its totient is φ = 28069332480.

The previous prime is 106212625511. The next prime is 106212625567. The reversal of 106212625512 is 215526212601.

It is a super-2 number, since 2×106212625512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106212625511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764119539 + ... + 764119677.

It is an arithmetic number, because the mean of its divisors is an integer number (853146000).

Almost surely, 2^106212625512 is an apocalyptic number.

106212625512 is a gapful number since it is divisible by the number (12) 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 106212625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163804032000).

106212625512 is an abundant number, since it is smaller than the sum of its proper divisors (221395438488).

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

106212625512 is a wasteful number, since it uses less digits than its factorization.

106212625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 106212625512 in words is "one hundred six billion, two hundred twelve million, six hundred twenty-five thousand, five hundred twelve".