105401730 has 128 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 23051520.

The previous prime is 105401719. The next prime is 105401731. The reversal of 105401730 is 37104501.

It is a super-2 number, since 2×105401730² = 22219049373985800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105401697 and 105401706.

It is not an unprimeable number, because it can be changed into a prime (105401731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582240 + ... + 582420.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^105401730 is an apocalyptic number.

105401730 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 105401730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

105401730 is an abundant number, since it is smaller than the sum of its proper divisors (196514430).

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

105401730 is a wasteful number, since it uses less digits than its factorization.

105401730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105401730 is about 10266.5344688459. The cubic root of 105401730 is about 472.3702955763.

The spelling of 105401730 in words is "one hundred five million, four hundred one thousand, seven hundred thirty".