106885402812 has 72 divisors (see below), whose sum is σ = 286241155200. Its totient is φ = 33513274368.

The previous prime is 106885402801. The next prime is 106885402831. The reversal of 106885402812 is 218204588601.

106885402812 is a `hidden beast` number, since 1 + 0 + 6 + 88 + 540 + 28 + 1 + 2 = 666.

It is a super-3 number, since 3×106885402812³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026864 + ... + 1126152.

It is an arithmetic number, because the mean of its divisors is an integer number (3975571600).

Almost surely, 2^106885402812 is an apocalyptic number.

106885402812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106885402812 is an abundant number, since it is smaller than the sum of its proper divisors (179355752388).

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

106885402812 is a wasteful number, since it uses less digits than its factorization.

106885402812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101075 (or 101070 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 106885402812 in words is "one hundred six billion, eight hundred eighty-five million, four hundred two thousand, eight hundred twelve".