100407340 has 48 divisors (see below), whose sum is σ = 231144480. Its totient is φ = 36334080.

The previous prime is 100407331. The next prime is 100407347. The reversal of 100407340 is 43704001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100407347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49384 + ... + 51376.

It is an arithmetic number, because the mean of its divisors is an integer number (4815510).

Almost surely, 2^100407340 is an apocalyptic number.

100407340 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 100407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115572240).

100407340 is an abundant number, since it is smaller than the sum of its proper divisors (130737140).

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

100407340 is a wasteful number, since it uses less digits than its factorization.

100407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 100407340 is about 10020.3463014010. The cubic root of 100407340 is about 464.7882644914.

The spelling of 100407340 in words is "one hundred million, four hundred seven thousand, three hundred forty".