106024240 has 240 divisors, whose sum is σ = 319077792. Its totient is φ = 32514048.

The previous prime is 106024231. The next prime is 106024253. The reversal of 106024240 is 42420601.

It is a super-2 number, since 2×106024240² = 22482278935155200, 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 47 ways as a sum of consecutive naturals, for example, 2465659 + ... + 2465701.

Almost surely, 2^106024240 is an apocalyptic number.

106024240 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 106024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159538896).

106024240 is an abundant number, since it is smaller than the sum of its proper divisors (213053552).

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

106024240 is a wasteful number, since it uses less digits than its factorization.

106024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106024240 is about 10296.8072721597. The cubic root of 106024240 is about 473.2984214591.

Adding to 106024240 its reverse (42420601), we get a palindrome (148444841).

The spelling of 106024240 in words is "one hundred six million, twenty-four thousand, two hundred forty".