106444242000 has 480 divisors, whose sum is σ = 397444454784. Its totient is φ = 26457600000.

The previous prime is 106444241999. The next prime is 106444242043. The reversal of 106444242000 is 242444601.

It is a happy number.

106444242000 is a `hidden beast` number, since 10 + 6 + 4 + 442 + 4 + 200 + 0 = 666.

It is a super-2 number, since 2×106444242000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32740375 + ... + 32743625.

Almost surely, 2^106444242000 is an apocalyptic number.

106444242000 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 106444242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198722227392).

106444242000 is an abundant number, since it is smaller than the sum of its proper divisors (291000212784).

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

106444242000 is a wasteful number, since it uses less digits than its factorization.

106444242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 106444242000 its reverse (242444601), we get a palindrome (106686686601).

The spelling of 106444242000 in words is "one hundred six billion, four hundred forty-four million, two hundred forty-two thousand".