106028860212 has 432 divisors, whose sum is σ = 318266807040. Its totient is φ = 29741141760.

The previous prime is 106028860211. The next prime is 106028860279. The reversal of 106028860212 is 212068820601.

106028860212 is a `hidden beast` number, since 10 + 6 + 0 + 28 + 8 + 602 + 12 = 666.

It is a super-2 number, since 2×106028860212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106028860211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1191335464 + ... + 1191335552.

It is an arithmetic number, because the mean of its divisors is an integer number (736728720).

Almost surely, 2^106028860212 is an apocalyptic number.

106028860212 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 106028860212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159133403520).

106028860212 is an abundant number, since it is smaller than the sum of its proper divisors (212237946828).

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

106028860212 is a wasteful number, since it uses less digits than its factorization.

106028860212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 106028860212 in words is "one hundred six billion, twenty-eight million, eight hundred sixty thousand, two hundred twelve".