106144524 has 72 divisors (see below), whose sum is σ = 279311760. Its totient is φ = 33946752.

The previous prime is 106144523. The next prime is 106144537. The reversal of 106144524 is 425441601.

106144524 is a `hidden beast` number, since 1 + 0 + 614 + 45 + 2 + 4 = 666.

It is a super-2 number, since 2×106144524² = 22533319950373152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106144523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305719 + ... + 306065.

It is an arithmetic number, because the mean of its divisors is an integer number (3879330).

Almost surely, 2^106144524 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 106144524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139655880).

106144524 is an abundant number, since it is smaller than the sum of its proper divisors (173167236).

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

106144524 is a wasteful number, since it uses less digits than its factorization.

106144524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 106144524 is about 10302.6464561296. The cubic root of 106144524 is about 473.4773387578.

The spelling of 106144524 in words is "one hundred six million, one hundred forty-four thousand, five hundred twenty-four".