105573757408 has 96 divisors (see below), whose sum is σ = 253956777984. Its totient is φ = 42170775552.

The previous prime is 105573757327. The next prime is 105573757433. The reversal of 105573757408 is 804757375501.

It is a super-2 number, since 2×105573757408² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257641 + ... + 526807.

It is an arithmetic number, because the mean of its divisors is an integer number (2645383104).

Almost surely, 2^105573757408 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 105573757408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126978388992).

105573757408 is an abundant number, since it is smaller than the sum of its proper divisors (148383020576).

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

105573757408 is a wasteful number, since it uses less digits than its factorization.

105573757408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269304 (or 269296 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 52.

The spelling of 105573757408 in words is "one hundred five billion, five hundred seventy-three million, seven hundred fifty-seven thousand, four hundred eight".