100448634 has 96 divisors (see below), whose sum is σ = 246677760. Its totient is φ = 27054720.

The previous prime is 100448629. The next prime is 100448651. The reversal of 100448634 is 436844001.

100448634 = 293² + 294² + ... + 688².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273519 + ... + 273885.

It is an arithmetic number, because the mean of its divisors is an integer number (2569560).

Almost surely, 2^100448634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100448634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123338880).

100448634 is an abundant number, since it is smaller than the sum of its proper divisors (146229126).

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

100448634 is a wasteful number, since it uses less digits than its factorization.

100448634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 100448634 is about 10022.4065972201. The cubic root of 100448634 is about 464.8519727690.

The spelling of 100448634 in words is "one hundred million, four hundred forty-eight thousand, six hundred thirty-four".