105032420 has 24 divisors (see below), whose sum is σ = 222183864. Its totient is φ = 41705216.

The previous prime is 105032413. The next prime is 105032441. The reversal of 105032420 is 24230501.

It can be written as a sum of positive squares in 4 ways, for example, as 20502784 + 84529636 = 4528^2 + 9194^2 .

It is a super-2 number, since 2×105032420² = 22063618502112800, which contains 22 as substring.

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, 16427 + ... + 21906.

It is an arithmetic number, because the mean of its divisors is an integer number (9257661).

Almost surely, 2^105032420 is an apocalyptic number.

105032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105032420 is an abundant number, since it is smaller than the sum of its proper divisors (117151444).

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

105032420 is a wasteful number, since it uses less digits than its factorization.

105032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38479 (or 38477 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105032420 is about 10248.5325778865. The cubic root of 105032420 is about 471.8179478412.

Adding to 105032420 its reverse (24230501), we get a palindrome (129262921).

The spelling of 105032420 in words is "one hundred five million, thirty-two thousand, four hundred twenty".