105947580 has 48 divisors (see below), whose sum is σ = 298841760. Its totient is φ = 28044288.

The previous prime is 105947561. The next prime is 105947581. The reversal of 105947580 is 85749501.

It is a super-2 number, since 2×105947580² = 22449779415712800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105947581) 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, 1776 + ... + 14664.

It is an arithmetic number, because the mean of its divisors is an integer number (6225870).

Almost surely, 2^105947580 is an apocalyptic number.

105947580 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 105947580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149420880).

105947580 is an abundant number, since it is smaller than the sum of its proper divisors (192894180).

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

105947580 is a wasteful number, since it uses less digits than its factorization.

105947580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105947580 is about 10293.0840859288. The cubic root of 105947580 is about 473.1843223775.

The spelling of 105947580 in words is "one hundred five million, nine hundred forty-seven thousand, five hundred eighty".