105506744020 has 192 divisors, whose sum is σ = 253152345600. Its totient is φ = 36714332160.

The previous prime is 105506744017. The next prime is 105506744069. The reversal of 105506744020 is 20447605501.

It is a super-3 number, since 3×105506744020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34946071 + ... + 34949089.

It is an arithmetic number, because the mean of its divisors is an integer number (1318501800).

Almost surely, 2^105506744020 is an apocalyptic number.

105506744020 is a gapful number since it is divisible by the number (10) 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 105506744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126576172800).

105506744020 is an abundant number, since it is smaller than the sum of its proper divisors (147645601580).

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

105506744020 is a wasteful number, since it uses less digits than its factorization.

105506744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 105506744020 in words is "one hundred five billion, five hundred six million, seven hundred forty-four thousand, twenty".