106031024 has 40 divisors (see below), whose sum is σ = 227931840. Its totient is φ = 47374400.

The previous prime is 106030999. The next prime is 106031041. The reversal of 106031024 is 420130601.

It is a super-2 number, since 2×106031024² = 22485156100977152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106030993 and 106031011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5279 + ... + 15489.

It is an arithmetic number, because the mean of its divisors is an integer number (5698296).

Almost surely, 2^106031024 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 106031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113965920).

106031024 is an abundant number, since it is smaller than the sum of its proper divisors (121900816).

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

106031024 is a wasteful number, since it uses less digits than its factorization.

106031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106031024 is about 10297.1366893909. The cubic root of 106031024 is about 473.3085159683.

Adding to 106031024 its reverse (420130601), we get a palindrome (526161625).

The spelling of 106031024 in words is "one hundred six million, thirty-one thousand, twenty-four".