101048864 has 48 divisors (see below), whose sum is σ = 230787648. Its totient is φ = 42653952.

The previous prime is 101048851. The next prime is 101048873. The reversal of 101048864 is 468840101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101048864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11642 + ... + 18374.

It is an arithmetic number, because the mean of its divisors is an integer number (4808076).

Almost surely, 2^101048864 is an apocalyptic number.

101048864 is a gapful number since it is divisible by the number (14) 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 101048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115393824).

101048864 is an abundant number, since it is smaller than the sum of its proper divisors (129738784).

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

101048864 is an equidigital number, since it uses as much as digits as its factorization.

101048864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 101048864 is about 10052.3064020154. The cubic root of 101048864 is about 465.7760410195.

Adding to 101048864 its reverse (468840101), we get a palindrome (569888965).

The spelling of 101048864 in words is "one hundred one million, forty-eight thousand, eight hundred sixty-four".