106902928512 has 192 divisors, whose sum is σ = 310493508000. Its totient is φ = 35303620608.

The previous prime is 106902928441. The next prime is 106902928513. The reversal of 106902928512 is 215829209601.

It is a happy number.

106902928512 is a `hidden beast` number, since 1 + 0 + 6 + 90 + 29 + 28 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106902928512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106902928513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62920239 + ... + 62921937.

Almost surely, 2^106902928512 is an apocalyptic number.

106902928512 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 106902928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155246754000).

106902928512 is an abundant number, since it is smaller than the sum of its proper divisors (203590579488).

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

106902928512 is a wasteful number, since it uses less digits than its factorization.

106902928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 106902928512 in words is "one hundred six billion, nine hundred two million, nine hundred twenty-eight thousand, five hundred twelve".