106942015152 has 200 divisors, whose sum is σ = 359735904000. Its totient is φ = 30036832128.

The previous prime is 106942015127. The next prime is 106942015231. The reversal of 106942015152 is 251510249601.

106942015152 is a `hidden beast` number, since 10 + 69 + 420 + 15 + 152 = 666.

It is a super-2 number, since 2×106942015152² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435349 + ... + 635147.

It is an arithmetic number, because the mean of its divisors is an integer number (1798679520).

Almost surely, 2^106942015152 is an apocalyptic number.

106942015152 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 106942015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179867952000).

106942015152 is an abundant number, since it is smaller than the sum of its proper divisors (252793888848).

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

106942015152 is a wasteful number, since it uses less digits than its factorization.

106942015152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199885 (or 199870 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106942015152 in words is "one hundred six billion, nine hundred forty-two million, fifteen thousand, one hundred fifty-two".