105501150 has 96 divisors (see below), whose sum is σ = 307882080. Its totient is φ = 26472960.

The previous prime is 105501127. The next prime is 105501173. The reversal of 105501150 is 51105501.

105501150 is a `hidden beast` number, since 1 + 0 + 550 + 115 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105501127) and next prime (105501173).

It is a super-2 number, since 2×105501150² = 22260985302645000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20652 + ... + 25248.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^105501150 is an apocalyptic number.

105501150 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 105501150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

105501150 is an abundant number, since it is smaller than the sum of its proper divisors (202380930).

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

105501150 is a wasteful number, since it uses less digits than its factorization.

105501150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105501150 is about 10271.3752730586. The cubic root of 105501150 is about 472.5187697255.

Adding to 105501150 its reverse (51105501), we get a palindrome (156606651).

The spelling of 105501150 in words is "one hundred five million, five hundred one thousand, one hundred fifty".