106024464 has 400 divisors, whose sum is σ = 403307520. Its totient is φ = 26127360.

The previous prime is 106024453. The next prime is 106024469. The reversal of 106024464 is 464420601.

106024464 is a `hidden beast` number, since 10 + 602 + 4 + 46 + 4 = 666.

It is a super-2 number, since 2×106024464² = 22482373932974592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106024469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3420129 + ... + 3420159.

Almost surely, 2^106024464 is an apocalyptic number.

106024464 is a gapful number since it is divisible by the number (14) 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 106024464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

106024464 is an abundant number, since it is smaller than the sum of its proper divisors (297283056).

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

106024464 is a wasteful number, since it uses less digits than its factorization.

106024464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106024464 is about 10296.8181493120. The cubic root of 106024464 is about 473.2987547752.

The spelling of 106024464 in words is "one hundred six million, twenty-four thousand, four hundred sixty-four".