105503530 has 96 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 34383360.

The previous prime is 105503527. The next prime is 105503533. The reversal of 105503530 is 35305501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105503527) and next prime (105503533).

It is a super-2 number, since 2×105503530² = 22261989684921800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105503533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472999 + ... + 473221.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^105503530 is an apocalyptic number.

105503530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105503530 is an abundant number, since it is smaller than the sum of its proper divisors (126159062).

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

105503530 is a wasteful number, since it uses less digits than its factorization.

105503530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 105503530 is about 10271.4911283611. The cubic root of 105503530 is about 472.5223228818.

The spelling of 105503530 in words is "one hundred five million, five hundred three thousand, five hundred thirty".