100459944 has 96 divisors (see below), whose sum is σ = 303193800. Its totient is φ = 29836800.

The previous prime is 100459927. The next prime is 100459967. The reversal of 100459944 is 449954001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66096900 + 34363044 = 8130^2 + 5862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100459899 and 100459908.

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, 25294 + ... + 28994.

Almost surely, 2^100459944 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 100459944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151596900).

100459944 is an abundant number, since it is smaller than the sum of its proper divisors (202733856).

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

100459944 is a wasteful number, since it uses less digits than its factorization.

100459944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 100459944 is about 10022.9708170781. The cubic root of 100459944 is about 464.8694187620.

The spelling of 100459944 in words is "one hundred million, four hundred fifty-nine thousand, nine hundred forty-four".