100057420 has 48 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 37679040.

The previous prime is 100057417. The next prime is 100057421. The reversal of 100057420 is 24750001.

It is a super-2 number, since 2×100057420² = 20022974594112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (100057421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67285 + ... + 68755.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^100057420 is an apocalyptic number.

100057420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100057420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

100057420 is an abundant number, since it is smaller than the sum of its proper divisors (122508980).

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

100057420 is a wasteful number, since it uses less digits than its factorization.

100057420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 100057420 is about 10002.8705879862. The cubic root of 100057420 is about 464.2477063730.

The spelling of 100057420 in words is "one hundred million, fifty-seven thousand, four hundred twenty".