101006448 has 40 divisors (see below), whose sum is σ = 267990288. Its totient is φ = 32758272.

The previous prime is 101006447. The next prime is 101006459. The reversal of 101006448 is 844600101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26661 + ... + 30212.

Almost surely, 2^101006448 is an apocalyptic number.

It is an amenable number.

101006448 is an abundant number, since it is smaller than the sum of its proper divisors (166983840).

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

101006448 is a wasteful number, since it uses less digits than its factorization.

101006448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56921 (or 56915 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101006448 is about 10050.1964159911. The cubic root of 101006448 is about 465.7108609316.

Adding to 101006448 its reverse (844600101), we get a palindrome (945606549).

The spelling of 101006448 in words is "one hundred one million, six thousand, four hundred forty-eight".