105090882120 has 288 divisors, whose sum is σ = 397634323320. Its totient is φ = 24001044480.

The previous prime is 105090882119. The next prime is 105090882133. The reversal of 105090882120 is 21288090501.

It can be written as a sum of positive squares in 4 ways, for example, as 104669072676 + 421809444 = 323526^2 + 20538^2 .

It is a super-2 number, since 2×105090882120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40094410 + ... + 40097030.

Almost surely, 2^105090882120 is an apocalyptic number.

105090882120 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 105090882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198817161660).

105090882120 is an abundant number, since it is smaller than the sum of its proper divisors (292543441200).

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

105090882120 is a wasteful number, since it uses less digits than its factorization.

105090882120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 105090882120 in words is "one hundred five billion, ninety million, eight hundred eighty-two thousand, one hundred twenty".