106125240 has 96 divisors (see below), whose sum is σ = 344815920. Its totient is φ = 26118144.

The previous prime is 106125233. The next prime is 106125251. The reversal of 106125240 is 42521601.

106125240 = T₃₆₁ + T₃₆₂ + ... + T₈₈₀.

It is a super-2 number, since 2×106125240² = 22525133130115200, which 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 23 ways as a sum of consecutive naturals, for example, 17664 + ... + 22896.

Almost surely, 2^106125240 is an apocalyptic number.

106125240 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 106125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172407960).

106125240 is an abundant number, since it is smaller than the sum of its proper divisors (238690680).

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

106125240 is a wasteful number, since it uses less digits than its factorization.

106125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106125240 is about 10301.7105375758. The cubic root of 106125240 is about 473.4486637348.

Adding to 106125240 its reverse (42521601), we get a palindrome (148646841).

The spelling of 106125240 in words is "one hundred six million, one hundred twenty-five thousand, two hundred forty".