105428832390 has 128 divisors (see below), whose sum is σ = 321796823040. Its totient is φ = 24061276800.

The previous prime is 105428832349. The next prime is 105428832479. The reversal of 105428832390 is 93238824501.

105428832390 is a `hidden beast` number, since 1 + 0 + 542 + 8 + 83 + 23 + 9 + 0 = 666.

It is a super-2 number, since 2×105428832390² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1207095 + ... + 1291485.

It is an arithmetic number, because the mean of its divisors is an integer number (2514037680).

Almost surely, 2^105428832390 is an apocalyptic number.

105428832390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105428832390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160898411520).

105428832390 is an abundant number, since it is smaller than the sum of its proper divisors (216367990650).

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

105428832390 is a wasteful number, since it uses less digits than its factorization.

105428832390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85075 (or 85069 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 105428832390 in words is "one hundred five billion, four hundred twenty-eight million, eight hundred thirty-two thousand, three hundred ninety".