106152012000 has 1152 divisors, whose sum is σ = 434476224000. Its totient is φ = 25098854400.

The previous prime is 106152011957. The next prime is 106152012013. The reversal of 106152012000 is 210251601.

106152012000 is a `hidden beast` number, since 10 + 615 + 20 + 1 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×106152012000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 593027911 + ... + 593028089.

It is an arithmetic number, because the mean of its divisors is an integer number (377149500).

Almost surely, 2^106152012000 is an apocalyptic number.

106152012000 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 106152012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217238112000).

106152012000 is an abundant number, since it is smaller than the sum of its proper divisors (328324212000).

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

106152012000 is a wasteful number, since it uses less digits than its factorization.

106152012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 106152012000 its reverse (210251601), we get a palindrome (106362263601).

The spelling of 106152012000 in words is "one hundred six billion, one hundred fifty-two million, twelve thousand".