100420441 has 9 divisors (see below), whose sum is σ = 110500789. Its totient is φ = 91191100.

The previous prime is 100420427. The next prime is 100420447. The reversal of 100420441 is 144024001.

The square root of 100420441 is 10021.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 100420441 - 2¹⁷ = 100289369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100420447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109776 + ... + 110686.

Almost surely, 2^100420441 is an apocalyptic number.

100420441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100420441 is the 10021-st square number.

100420441 is the 5011-st centered octagonal number.

It is an amenable number.

100420441 is a deficient number, since it is larger than the sum of its proper divisors (10080348).

100420441 is an frugal number, since it uses more digits than its factorization.

100420441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 100420441 is about 464.8084785721.

Multiplying 100420441 by its sum of digits (16), we get a square (1606727056 = 40084²).

Adding to 100420441 its reverse (144024001), we get a palindrome (244444442).

The spelling of 100420441 in words is "one hundred million, four hundred twenty thousand, four hundred forty-one".