106113024 has 192 divisors, whose sum is σ = 334152000. Its totient is φ = 33177600.

The previous prime is 106112999. The next prime is 106113041. The reversal of 106113024 is 420311601.

It is a happy number.

106113024 is a `hidden beast` number, since 1 + 0 + 611 + 30 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106113024² = 22519947724849152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106112988 and 106113006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050574 + ... + 1050674.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^106113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

106113024 is an abundant number, since it is smaller than the sum of its proper divisors (228038976).

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

106113024 is a wasteful number, since it uses less digits than its factorization.

106113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106113024 is about 10301.1176092694. The cubic root of 106113024 is about 473.4304969261.

Adding to 106113024 its reverse (420311601), we get a palindrome (526424625).

The spelling of 106113024 in words is "one hundred six million, one hundred thirteen thousand, twenty-four".