105088433280 has 128 divisors (see below), whose sum is σ = 336446412480. Its totient is φ = 27900014592.

The previous prime is 105088433269. The next prime is 105088433323. The reversal of 105088433280 is 82334880501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105088433280² (a number of 23 digits) contains 22 as substring.

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, 315282 + ... + 556398.

Almost surely, 2^105088433280 is an apocalyptic number.

105088433280 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 105088433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168223206240).

105088433280 is an abundant number, since it is smaller than the sum of its proper divisors (231357979200).

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

105088433280 is a wasteful number, since it uses less digits than its factorization.

105088433280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241366 (or 241354 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 105088433280 in words is "one hundred five billion, eighty-eight million, four hundred thirty-three thousand, two hundred eighty".