100640448 has 112 divisors (see below), whose sum is σ = 298704000. Its totient is φ = 33225984.

The previous prime is 100640447. The next prime is 100640483. The reversal of 100640448 is 844046001.

100640448 is a `hidden beast` number, since 10 + 0 + 640 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100640447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239983 + ... + 240401.

It is an arithmetic number, because the mean of its divisors is an integer number (2667000).

Almost surely, 2^100640448 is an apocalyptic number.

100640448 is a gapful number since it is divisible by the number (18) 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 100640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352000).

100640448 is an abundant number, since it is smaller than the sum of its proper divisors (198063552).

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

100640448 is a wasteful number, since it uses less digits than its factorization.

100640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 100640448 is about 10031.9712918250. The cubic root of 100640448 is about 465.1476742206.

Adding to 100640448 its reverse (844046001), we get a palindrome (944686449).

The spelling of 100640448 in words is "one hundred million, six hundred forty thousand, four hundred forty-eight".