101488016 has 30 divisors (see below), whose sum is σ = 228738150. Its totient is φ = 43494528.

The previous prime is 101487989. The next prime is 101488019. The reversal of 101488016 is 610884101.

It can be written as a sum of positive squares in only one way, i.e., 59290000 + 42198016 = 7700^2 + 6496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101488016.

It is not an unprimeable number, because it can be changed into a prime (101488019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63941 + ... + 65508.

It is an arithmetic number, because the mean of its divisors is an integer number (7624605).

Almost surely, 2^101488016 is an apocalyptic number.

101488016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101488016 is an abundant number, since it is smaller than the sum of its proper divisors (127250134).

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

101488016 is a wasteful number, since it uses less digits than its factorization.

101488016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129471 (or 129458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 101488016 is about 10074.1260663146. The cubic root of 101488016 is about 466.4498103553.

The spelling of 101488016 in words is "one hundred one million, four hundred eighty-eight thousand, sixteen".