100461024 has 144 divisors (see below), whose sum is σ = 307812960. Its totient is φ = 31073280.

The previous prime is 100461019. The next prime is 100461047. The reversal of 100461024 is 420164001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100460988 and 100461006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414909 + ... + 1414979.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2^100461024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906480).

100461024 is an abundant number, since it is smaller than the sum of its proper divisors (207351936).

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

100461024 is an equidigital number, since it uses as much as digits as its factorization.

100461024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100461024 is about 10023.0246931752. The cubic root of 100461024 is about 464.8710846239.

The spelling of 100461024 in words is "one hundred million, four hundred sixty-one thousand, twenty-four".