106413824 has 144 divisors (see below), whose sum is σ = 254306304. Its totient is φ = 43929600.

The previous prime is 106413823. The next prime is 106413833. The reversal of 106413824 is 428314601.

It is a super-2 number, since 2×106413824² = 22647803876605952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106413823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007782 + ... + 2007834.

It is an arithmetic number, because the mean of its divisors is an integer number (1766016).

Almost surely, 2^106413824 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 106413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153152).

106413824 is an abundant number, since it is smaller than the sum of its proper divisors (147892480).

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

106413824 is a wasteful number, since it uses less digits than its factorization.

106413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 106413824 is about 10315.7076344767. The cubic root of 106413824 is about 473.8774214656.

The spelling of 106413824 in words is "one hundred six million, four hundred thirteen thousand, eight hundred twenty-four".