101390688 has 144 divisors (see below), whose sum is σ = 346993920. Its totient is φ = 27433728.

The previous prime is 101390687. The next prime is 101390717. The reversal of 101390688 is 886093101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×101390688² = 20560143226226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101390687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36981 + ... + 39627.

It is an arithmetic number, because the mean of its divisors is an integer number (2409680).

Almost surely, 2^101390688 is an apocalyptic number.

101390688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173496960).

101390688 is an abundant number, since it is smaller than the sum of its proper divisors (245603232).

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

101390688 is a wasteful number, since it uses less digits than its factorization.

101390688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101390688 is about 10069.2943148962. The cubic root of 101390688 is about 466.3006526871.

The spelling of 101390688 in words is "one hundred one million, three hundred ninety thousand, six hundred eighty-eight".