101005420 has 24 divisors (see below), whose sum is σ = 221334624. Its totient is φ = 38645376.

The previous prime is 101005403. The next prime is 101005423. The reversal of 101005420 is 24500101.

It is a self number, because there is not a number n which added to its sum of digits gives 101005420.

It is not an unprimeable number, because it can be changed into a prime (101005423) 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 7 ways as a sum of consecutive naturals, for example, 109329 + ... + 110248.

It is an arithmetic number, because the mean of its divisors is an integer number (9222276).

Almost surely, 2^101005420 is an apocalyptic number.

101005420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005420 is an abundant number, since it is smaller than the sum of its proper divisors (120329204).

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

101005420 is a wasteful number, since it uses less digits than its factorization.

101005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219609 (or 219607 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 101005420 is about 10050.1452725819. The cubic root of 101005420 is about 465.7092809916.

Adding to 101005420 its reverse (24500101), we get a palindrome (125505521).

The spelling of 101005420 in words is "one hundred one million, five thousand, four hundred twenty".