105024261056 has 112 divisors (see below), whose sum is σ = 245128450560. Its totient is φ = 44014648320.

The previous prime is 105024261049. The next prime is 105024261073. The reversal of 105024261056 is 650162420501.

It is a super-2 number, since 2×105024261056² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8404445 + ... + 8416931.

It is an arithmetic number, because the mean of its divisors is an integer number (2188646880).

Almost surely, 2^105024261056 is an apocalyptic number.

105024261056 is a gapful number since it is divisible by the number (16) 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 105024261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122564225280).

105024261056 is an abundant number, since it is smaller than the sum of its proper divisors (140104189504).

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

105024261056 is a wasteful number, since it uses less digits than its factorization.

105024261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 105024261056 its reverse (650162420501), we get a palindrome (755186681557).

The spelling of 105024261056 in words is "one hundred five billion, twenty-four million, two hundred sixty-one thousand, fifty-six".