106488941824 has 72 divisors (see below), whose sum is σ = 218032887240. Its totient is φ = 51877478400.

The previous prime is 106488941809. The next prime is 106488941879. The reversal of 106488941824 is 428149884601.

It can be written as a sum of positive squares in 4 ways, for example, as 27280468224 + 79208473600 = 165168^2 + 281440^2 .

It is a super-2 number, since 2×106488941824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8484994 + ... + 8497534.

It is an arithmetic number, because the mean of its divisors is an integer number (3028234545).

Almost surely, 2^106488941824 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 106488941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109016443620).

106488941824 is an abundant number, since it is smaller than the sum of its proper divisors (111543945416).

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

106488941824 is an equidigital number, since it uses as much as digits as its factorization.

106488941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 106488941824 in words is "one hundred six billion, four hundred eighty-eight million, nine hundred forty-one thousand, eight hundred twenty-four".