105077250 has 80 divisors (see below), whose sum is σ = 293899320. Its totient is φ = 28015200.

The previous prime is 105077249. The next prime is 105077257. The reversal of 105077250 is 52770501.

It can be written as a sum of positive squares in 4 ways, for example, as 46416969 + 58660281 = 6813^2 + 7659^2 .

It is a super-2 number, since 2×105077250² = 22082456935125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105077257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17656 + ... + 22844.

Almost surely, 2^105077250 is an apocalyptic number.

105077250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105077250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146949660).

105077250 is an abundant number, since it is smaller than the sum of its proper divisors (188822070).

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

105077250 is an equidigital number, since it uses as much as digits as its factorization.

105077250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 105077250 is about 10250.7194869433. The cubic root of 105077250 is about 471.8850654988.

The spelling of 105077250 in words is "one hundred five million, seventy-seven thousand, two hundred fifty".