105031024 has 20 divisors (see below), whose sum is σ = 232568944. Its totient is φ = 45013248.

The previous prime is 105031021. The next prime is 105031027. The reversal of 105031024 is 420130501.

It is an interprime number because it is at equal distance from previous prime (105031021) and next prime (105031027).

It is a super-2 number, since 2×105031024² = 22063032004977152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 105030989 and 105031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031021) 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 3 ways as a sum of consecutive naturals, for example, 468777 + ... + 469000.

Almost surely, 2^105031024 is an apocalyptic number.

105031024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105031024 is an abundant number, since it is smaller than the sum of its proper divisors (127537920).

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

105031024 is an equidigital number, since it uses as much as digits as its factorization.

105031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937792 (or 937786 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105031024 is about 10248.4644703487. The cubic root of 105031024 is about 471.8158575000.

Adding to 105031024 its reverse (420130501), we get a palindrome (525161525).

The spelling of 105031024 in words is "one hundred five million, thirty-one thousand, twenty-four".