101048064 has 144 divisors (see below), whose sum is σ = 300468000. Its totient is φ = 29933568.

The previous prime is 101048063. The next prime is 101048069. The reversal of 101048064 is 460840101.

It is a super-2 number, since 2×101048064² = 20421422476296192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101048063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289362 + ... + 289710.

Almost surely, 2^101048064 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 101048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150234000).

101048064 is an abundant number, since it is smaller than the sum of its proper divisors (199419936).

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

101048064 is a wasteful number, since it uses less digits than its factorization.

101048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101048064 is about 10052.2666100736. The cubic root of 101048064 is about 465.7748118392.

Adding to 101048064 its reverse (460840101), we get a palindrome (561888165).

The spelling of 101048064 in words is "one hundred one million, forty-eight thousand, sixty-four".