105100752 has 20 divisors (see below), whose sum is σ = 271510400. Its totient is φ = 35033568.

The previous prime is 105100747. The next prime is 105100759. The reversal of 105100752 is 257001501.

It is a super-2 number, since 2×105100752² = 22092336141931008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1094752 + ... + 1094847.

It is an arithmetic number, because the mean of its divisors is an integer number (13575520).

Almost surely, 2^105100752 is an apocalyptic number.

105100752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105100752 is an abundant number, since it is smaller than the sum of its proper divisors (166409648).

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

105100752 is a wasteful number, since it uses less digits than its factorization.

105100752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189610 (or 2189604 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105100752 is about 10251.8657814078. The cubic root of 105100752 is about 471.9202441129.

The spelling of 105100752 in words is "one hundred five million, one hundred thousand, seven hundred fifty-two".