101053824 has 64 divisors (see below), whose sum is σ = 271291440. Its totient is φ = 33325056.

The previous prime is 101053819. The next prime is 101053829. The reversal of 101053824 is 428350101.

It is an interprime number because it is at equal distance from previous prime (101053819) and next prime (101053829).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 101053794 and 101053803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053829) 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 7 ways as a sum of consecutive naturals, for example, 35892 + ... + 38604.

Almost surely, 2^101053824 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 101053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135645720).

101053824 is an abundant number, since it is smaller than the sum of its proper divisors (170237616).

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

101053824 is an equidigital number, since it uses as much as digits as its factorization.

101053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101053824 is about 10052.5531085391. The cubic root of 101053824 is about 465.7836617925.

The spelling of 101053824 in words is "one hundred one million, fifty-three thousand, eight hundred twenty-four".