101062688 has 48 divisors (see below), whose sum is σ = 216408024. Its totient is φ = 46264320.

The previous prime is 101062669. The next prime is 101062699. The reversal of 101062688 is 886260101.

It can be written as a sum of positive squares in 4 ways, for example, as 96275344 + 4787344 = 9812^2 + 2188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17618 + ... + 22638.

Almost surely, 2^101062688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101062688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108204012).

101062688 is an abundant number, since it is smaller than the sum of its proper divisors (115345336).

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

101062688 is a wasteful number, since it uses less digits than its factorization.

101062688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 101062688 is about 10052.9939818942. The cubic root of 101062688 is about 465.7972802303.

The spelling of 101062688 in words is "one hundred one million, sixty-two thousand, six hundred eighty-eight".