100406420 has 24 divisors (see below), whose sum is σ = 223257384. Its totient is φ = 37799936.

The previous prime is 100406407. The next prime is 100406441. The reversal of 100406420 is 24604001.

It can be written as a sum of positive squares in 4 ways, for example, as 23001616 + 77404804 = 4796^2 + 8798^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147317 + ... + 147996.

It is an arithmetic number, because the mean of its divisors is an integer number (9302391).

Almost surely, 2^100406420 is an apocalyptic number.

100406420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100406420 is an abundant number, since it is smaller than the sum of its proper divisors (122850964).

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

100406420 is a wasteful number, since it uses less digits than its factorization.

100406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295339 (or 295337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 100406420 is about 10020.3003946988. The cubic root of 100406420 is about 464.7868449189.

The spelling of 100406420 in words is "one hundred million, four hundred six thousand, four hundred twenty".