105349580 has 48 divisors (see below), whose sum is σ = 253827840. Its totient is φ = 35978688.

The previous prime is 105349579. The next prime is 105349583. The reversal of 105349580 is 85943501.

It is a super-2 number, since 2×105349580² = 22197068012352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105349580.

It is not an unprimeable number, because it can be changed into a prime (105349583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38291 + ... + 40949.

It is an arithmetic number, because the mean of its divisors is an integer number (5288080).

Almost surely, 2^105349580 is an apocalyptic number.

105349580 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 105349580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126913920).

105349580 is an abundant number, since it is smaller than the sum of its proper divisors (148478260).

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

105349580 is a wasteful number, since it uses less digits than its factorization.

105349580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 105349580 is about 10263.9943491801. The cubic root of 105349580 is about 472.2923772638.

The spelling of 105349580 in words is "one hundred five million, three hundred forty-nine thousand, five hundred eighty".