101138864 has 20 divisors (see below), whose sum is σ = 202278720. Its totient is φ = 48937920.

The previous prime is 101138837. The next prime is 101138867. The reversal of 101138864 is 468831101.

It is a happy number.

101138864 is an admirable number.

It is a super-2 number, since 2×101138864² = 20458139622420992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101138864.

It is not an unprimeable number, because it can be changed into a prime (101138867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101459 + ... + 102450.

It is an arithmetic number, because the mean of its divisors is an integer number (10113936).

Almost surely, 2^101138864 is an apocalyptic number.

It is an amenable number.

101138864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101138864 is a wasteful number, since it uses less digits than its factorization.

101138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203948 (or 203942 counting only the distinct ones).

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

The square root of 101138864 is about 10056.7819902790. The cubic root of 101138864 is about 465.9142824035.

Adding to 101138864 its reverse (468831101), we get a palindrome (569969965).

The spelling of 101138864 in words is "one hundred one million, one hundred thirty-eight thousand, eight hundred sixty-four".