106162431151200 has 144 divisors (see below), whose sum is σ = 347312820088080. Its totient is φ = 28166276024320.

The previous prime is 106162431151187. The next prime is 106162431151261. The reversal of 106162431151200 is 2151134261601.

106162431151200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106162431151200² (a number of 29 digits) contains 22 as substring.

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, 111797115 + ... + 112742714.

It is an arithmetic number, because the mean of its divisors is an integer number (2411894583945).

Almost surely, 2^{106162431151200} is an apocalyptic number.

106162431151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106162431151200 is an abundant number, since it is smaller than the sum of its proper divisors (241150388936880).

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

106162431151200 is a wasteful number, since it uses less digits than its factorization.

106162431151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224540049 (or 224540036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 106162431151200 in words is "one hundred six trillion, one hundred sixty-two billion, four hundred thirty-one million, one hundred fifty-one thousand, two hundred".