101616448 has 28 divisors (see below), whose sum is σ = 202041252. Its totient is φ = 50708480.

The previous prime is 101616443. The next prime is 101616457. The reversal of 101616448 is 844616101.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 27793984 = 8592^2 + 5272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101616443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39786 + ... + 42262.

It is an arithmetic number, because the mean of its divisors is an integer number (7215759).

Almost surely, 2^101616448 is an apocalyptic number.

It is an amenable number.

101616448 is a deficient number, since it is larger than the sum of its proper divisors (100424804).

101616448 is an equidigital number, since it uses as much as digits as its factorization.

101616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 101616448 is about 10080.4984003768. The cubic root of 101616448 is about 466.6464898306.

The spelling of 101616448 in words is "one hundred one million, six hundred sixteen thousand, four hundred forty-eight".