100457841 has 8 divisors (see below), whose sum is σ = 146120544. Its totient is φ = 60883520.

The previous prime is 100457839. The next prime is 100457867. The reversal of 100457841 is 148754001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100457841 - 2¹ = 100457839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100457799 and 100457808.

It is not an unprimeable number, because it can be changed into a prime (100457801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522056 + ... + 1522121.

It is an arithmetic number, because the mean of its divisors is an integer number (18265068).

Almost surely, 2^100457841 is an apocalyptic number.

100457841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100457841 is a deficient number, since it is larger than the sum of its proper divisors (45662703).

100457841 is a wasteful number, since it uses less digits than its factorization.

100457841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044191.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 100457841 is about 10022.8659075137. The cubic root of 100457841 is about 464.8661749245.

The spelling of 100457841 in words is "one hundred million, four hundred fifty-seven thousand, eight hundred forty-one".