105351020 has 48 divisors (see below), whose sum is σ = 229490688. Its totient is φ = 40582080.

The previous prime is 105351013. The next prime is 105351047. The reversal of 105351020 is 20153501.

It is a super-2 number, since 2×105351020² = 22197674830080800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105351020.

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, 227309 + ... + 227771.

It is an arithmetic number, because the mean of its divisors is an integer number (4781056).

Almost surely, 2^105351020 is an apocalyptic number.

105351020 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 105351020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114745344).

105351020 is an abundant number, since it is smaller than the sum of its proper divisors (124139668).

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

105351020 is a wasteful number, since it uses less digits than its factorization.

105351020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105351020 is about 10264.0644970694. The cubic root of 105351020 is about 472.2945291405.

The spelling of 105351020 in words is "one hundred five million, three hundred fifty-one thousand, twenty".