105252030 has 48 divisors (see below), whose sum is σ = 294708960. Its totient is φ = 25907904.

The previous prime is 105251987. The next prime is 105252053. The reversal of 105252030 is 30252501.

It is a happy number.

It is a super-2 number, since 2×105252030² = 22155979638241800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105251994 and 105252012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43810 + ... + 46149.

It is an arithmetic number, because the mean of its divisors is an integer number (6139770).

Almost surely, 2^105252030 is an apocalyptic number.

105252030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105252030 is an abundant number, since it is smaller than the sum of its proper divisors (189456930).

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

105252030 is a wasteful number, since it uses less digits than its factorization.

105252030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89985 (or 89982 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105252030 is about 10259.2412000108. The cubic root of 105252030 is about 472.1465568783.

The spelling of 105252030 in words is "one hundred five million, two hundred fifty-two thousand, thirty".