106416302442120 has 192 divisors, whose sum is σ = 380755579089600. Its totient is φ = 25561213493760.

The previous prime is 106416302442083. The next prime is 106416302442193. The reversal of 106416302442120 is 21244203614601.

106416302442120 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 630 + 2 + 4 + 4 + 2 + 12 + 0 = 666.

It is a super-3 number, since 3×106416302442120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122838102 + ... + 123701381.

It is an arithmetic number, because the mean of its divisors is an integer number (1983101974425).

Almost surely, 2^{106416302442120} is an apocalyptic number.

106416302442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106416302442120 is an abundant number, since it is smaller than the sum of its proper divisors (274339276647480).

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

106416302442120 is a wasteful number, since it uses less digits than its factorization.

106416302442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246539620 (or 246539613 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106416302442120 in words is "one hundred six trillion, four hundred sixteen billion, three hundred two million, four hundred forty-two thousand, one hundred twenty".