105880250 has 64 divisors (see below), whose sum is σ = 239915520. Its totient is φ = 34156800.

The previous prime is 105880249. The next prime is 105880259. The reversal of 105880250 is 52088501.

It is a super-2 number, since 2×105880250² = 22421254680125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105880259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27971 + ... + 31529.

It is an arithmetic number, because the mean of its divisors is an integer number (3748680).

Almost surely, 2^105880250 is an apocalyptic number.

105880250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105880250 is an abundant number, since it is smaller than the sum of its proper divisors (134035270).

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

105880250 is a wasteful number, since it uses less digits than its factorization.

105880250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 105880250 is about 10289.8129234695. The cubic root of 105880250 is about 473.0840644583.

The spelling of 105880250 in words is "one hundred five million, eight hundred eighty thousand, two hundred fifty".