101616128 has 20 divisors (see below), whose sum is σ = 203034810. Its totient is φ = 50807808.

The previous prime is 101616127. The next prime is 101616131. The reversal of 101616128 is 821616101.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 16386304 = 9232^2 + 4048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101616097 and 101616106.

It is not an unprimeable number, because it can be changed into a prime (101616127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98723 + ... + 99746.

Almost surely, 2^101616128 is an apocalyptic number.

It is an amenable number.

101616128 is a deficient number, since it is larger than the sum of its proper divisors (101418682).

101616128 is an frugal number, since it uses more digits than its factorization.

101616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198487 (or 198471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 101616128 is about 10080.4825281333. The cubic root of 101616128 is about 466.6459999918.

The spelling of 101616128 in words is "one hundred one million, six hundred sixteen thousand, one hundred twenty-eight".