100457840 has 100 divisors (see below), whose sum is σ = 272996664. Its totient is φ = 34376832.

The previous prime is 100457839. The next prime is 100457867. The reversal of 100457840 is 48754001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191819 + ... + 192341.

Almost surely, 2^100457840 is an apocalyptic number.

100457840 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 100457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136498332).

100457840 is an abundant number, since it is smaller than the sum of its proper divisors (172538824).

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

100457840 is an frugal number, since it uses more digits than its factorization.

100457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 100457840 is about 10022.8658576277. The cubic root of 100457840 is about 464.8661733820.

The spelling of 100457840 in words is "one hundred million, four hundred fifty-seven thousand, eight hundred forty".