106506150000 has 240 divisors, whose sum is σ = 350419009248. Its totient is φ = 27863680000.

The previous prime is 106506149993. The next prime is 106506150001. The reversal of 106506150000 is 51605601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106506150000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506150001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7943302 + ... + 7956698.

Almost surely, 2^106506150000 is an apocalyptic number.

106506150000 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 106506150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175209504624).

106506150000 is an abundant number, since it is smaller than the sum of its proper divisors (243912859248).

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

106506150000 is an equidigital number, since it uses as much as digits as its factorization.

106506150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13486 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 106506150000 its reverse (51605601), we get a palindrome (106557755601).

The spelling of 106506150000 in words is "one hundred six billion, five hundred six million, one hundred fifty thousand".