106029024 has 48 divisors (see below), whose sum is σ = 281054592. Its totient is φ = 34996608.

The previous prime is 106029023. The next prime is 106029047. The reversal of 106029024 is 420920601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106029024² = 22484307860785152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106028985 and 106029003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106029023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4527 + ... + 15249.

It is an arithmetic number, because the mean of its divisors is an integer number (5855304).

Almost surely, 2^106029024 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 106029024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140527296).

106029024 is an abundant number, since it is smaller than the sum of its proper divisors (175025568).

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

106029024 is a wasteful number, since it uses less digits than its factorization.

106029024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10839 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106029024 is about 10297.0395745573. The cubic root of 106029024 is about 473.3055400375.

Adding to 106029024 its reverse (420920601), we get a palindrome (526949625).

The spelling of 106029024 in words is "one hundred six million, twenty-nine thousand, twenty-four".