100461456 has 60 divisors (see below), whose sum is σ = 284743680. Its totient is φ = 33059520.

The previous prime is 100461437. The next prime is 100461461. The reversal of 100461456 is 654164001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6961 + ... + 15791.

It is an arithmetic number, because the mean of its divisors is an integer number (4745728).

Almost surely, 2^100461456 is an apocalyptic number.

100461456 is a gapful number since it is divisible by the number (16) 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 100461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142371840).

100461456 is an abundant number, since it is smaller than the sum of its proper divisors (184282224).

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

100461456 is a wasteful number, since it uses less digits than its factorization.

100461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 8915 counting only the distinct ones).

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

The square root of 100461456 is about 10023.0462435330. The cubic root of 100461456 is about 464.8717509653.

The spelling of 100461456 in words is "one hundred million, four hundred sixty-one thousand, four hundred fifty-six".