101687088 has 80 divisors (see below), whose sum is σ = 283057280. Its totient is φ = 31352832.

The previous prime is 101687057. The next prime is 101687101. The reversal of 101687088 is 880786101.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37920 + ... + 40512.

It is an arithmetic number, because the mean of its divisors is an integer number (3538216).

Almost surely, 2^101687088 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 101687088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141528640).

101687088 is an abundant number, since it is smaller than the sum of its proper divisors (181370192).

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

101687088 is a wasteful number, since it uses less digits than its factorization.

101687088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 101687088 is about 10084.0015866718. The cubic root of 101687088 is about 466.7545965830.

The spelling of 101687088 in words is "one hundred one million, six hundred eighty-seven thousand, eighty-eight".