106055163252000 has 288 divisors, whose sum is σ = 376413155065584. Its totient is φ = 28279620096000.

The previous prime is 106055163251993. The next prime is 106055163252019. The reversal of 106055163252000 is 252361550601.

106055163252000 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 551 + 63 + 25 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1657203080976 + 104397960171024 = 1287324^2 + 10217532^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106055163252000² (a number of 29 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642049420 + ... + 642214580.

Almost surely, 2^{106055163252000} is an apocalyptic number.

106055163252000 is a gapful number since it is divisible by the number (10) 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 106055163252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188206577532792).

106055163252000 is an abundant number, since it is smaller than the sum of its proper divisors (270357991813584).

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

106055163252000 is a wasteful number, since it uses less digits than its factorization.

106055163252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183029 (or 183008 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 106055163252000 in words is "one hundred six trillion, fifty-five billion, one hundred sixty-three million, two hundred fifty-two thousand".