105300552 has 64 divisors (see below), whose sum is σ = 310579200. Its totient is φ = 29113920.

The previous prime is 105300541. The next prime is 105300563. The reversal of 105300552 is 255003501.

It is an interprime number because it is at equal distance from previous prime (105300541) and next prime (105300563).

It is a super-2 number, since 2×105300552² = 22176412503009408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4902 + ... + 15317.

It is an arithmetic number, because the mean of its divisors is an integer number (4852800).

Almost surely, 2^105300552 is an apocalyptic number.

105300552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105300552 is an abundant number, since it is smaller than the sum of its proper divisors (205278648).

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

105300552 is a wasteful number, since it uses less digits than its factorization.

105300552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20266 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105300552 is about 10261.6057223029. The cubic root of 105300552 is about 472.2191001367.

The spelling of 105300552 in words is "one hundred five million, three hundred thousand, five hundred fifty-two".