100456461 has 24 divisors (see below), whose sum is σ = 171185664. Its totient is φ = 55550880.

The previous prime is 100456453. The next prime is 100456481. The reversal of 100456461 is 164654001.

100456461 is a `hidden beast` number, since 10 + 0 + 4 + 5 + 646 + 1 = 666.

It is not a de Polignac number, because 100456461 - 2³ = 100456453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100456481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23766 + ... + 27671.

It is an arithmetic number, because the mean of its divisors is an integer number (7132736).

Almost surely, 2^100456461 is an apocalyptic number.

It is an amenable number.

100456461 is a deficient number, since it is larger than the sum of its proper divisors (70729203).

100456461 is a wasteful number, since it uses less digits than its factorization.

100456461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51481 (or 51478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100456461 is about 10022.7970646921. The cubic root of 100456461 is about 464.8640462761.

The spelling of 100456461 in words is "one hundred million, four hundred fifty-six thousand, four hundred sixty-one".