101057616 has 60 divisors (see below), whose sum is σ = 308536800. Its totient is φ = 30623040.

The previous prime is 101057597. The next prime is 101057617. The reversal of 101057616 is 616750101.

It is a self number, because there is not a number n which added to its sum of digits gives 101057616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30316 + ... + 33483.

It is an arithmetic number, because the mean of its divisors is an integer number (5142280).

Almost surely, 2^101057616 is an apocalyptic number.

101057616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101057616 is an abundant number, since it is smaller than the sum of its proper divisors (207479184).

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

101057616 is a wasteful number, since it uses less digits than its factorization.

101057616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63824 (or 63815 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101057616 is about 10052.7417155719. The cubic root of 101057616 is about 465.7894878282.

The spelling of 101057616 in words is "one hundred one million, fifty-seven thousand, six hundred sixteen".