100427040 has 384 divisors, whose sum is σ = 416586240. Its totient is φ = 22394880.

The previous prime is 100427023. The next prime is 100427057. The reversal of 100427040 is 40724001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100427023) and next prime (100427057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 9.

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 63 ways as a sum of consecutive naturals, for example, 2449420 + ... + 2449460.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860).

Almost surely, 2^100427040 is an apocalyptic number.

100427040 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 100427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

100427040 is an abundant number, since it is smaller than the sum of its proper divisors (316159200).

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

100427040 is an frugal number, since it uses more digits than its factorization.

100427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 100427040 is about 10021.3292531480. The cubic root of 100427040 is about 464.8186597794.

The spelling of 100427040 in words is "one hundred million, four hundred twenty-seven thousand, forty".