105380000 has 120 divisors (see below), whose sum is σ = 283409280. Its totient is φ = 38240000.

The previous prime is 105379999. The next prime is 105380003. The reversal of 105380000 is 83501.

It is a super-2 number, since 2×105380000² = 22209888800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105380003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219761 + ... + 220239.

It is an arithmetic number, because the mean of its divisors is an integer number (2361744).

Almost surely, 2^105380000 is an apocalyptic number.

105380000 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 105380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141704640).

105380000 is an abundant number, since it is smaller than the sum of its proper divisors (178029280).

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

105380000 is an equidigital number, since it uses as much as digits as its factorization.

105380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105380000 is about 10265.4761214471. The cubic root of 105380000 is about 472.3378314918.

The spelling of 105380000 in words is "one hundred five million, three hundred eighty thousand".