106950144 has 200 divisors, whose sum is σ = 343850760. Its totient is φ = 29503488.

The previous prime is 106950139. The next prime is 106950149. The reversal of 106950144 is 441059601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106950139) and next prime (106950149).

It is a super-2 number, since 2×106950144² = 22876666603241472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106950149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3687922 + ... + 3687950.

Almost surely, 2^106950144 is an apocalyptic number.

106950144 is a gapful number since it is divisible by the number (14) 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 106950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171925380).

106950144 is an abundant number, since it is smaller than the sum of its proper divisors (236900616).

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

106950144 is an frugal number, since it uses more digits than its factorization.

106950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106950144 is about 10341.6702712860. The cubic root of 106950144 is about 474.6721934017.

The spelling of 106950144 in words is "one hundred six million, nine hundred fifty thousand, one hundred forty-four".