106158333312 has 384 divisors, whose sum is σ = 319476044160. Its totient is φ = 33816600576.

The previous prime is 106158333311. The next prime is 106158333329. The reversal of 106158333312 is 213333851601.

106158333312 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 8 + 333 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106158333312² (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 (106158333311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467657743 + ... + 467657969.

It is an arithmetic number, because the mean of its divisors is an integer number (831968865).

Almost surely, 2^106158333312 is an apocalyptic number.

106158333312 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 106158333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159738022080).

106158333312 is an abundant number, since it is smaller than the sum of its proper divisors (213317710848).

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

106158333312 is a wasteful number, since it uses less digits than its factorization.

106158333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106158333312 in words is "one hundred six billion, one hundred fifty-eight million, three hundred thirty-three thousand, three hundred twelve".