105752010 has 64 divisors (see below), whose sum is σ = 312383232. Its totient is φ = 22311936.

The previous prime is 105751993. The next prime is 105752029. The reversal of 105752010 is 10257501.

It is a super-2 number, since 2×105752010² = 22366975238080200, 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 31 ways as a sum of consecutive naturals, for example, 16639 + ... + 22098.

It is an arithmetic number, because the mean of its divisors is an integer number (4880988).

Almost surely, 2^105752010 is an apocalyptic number.

105752010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105752010 is an abundant number, since it is smaller than the sum of its proper divisors (206631222).

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

105752010 is a wasteful number, since it uses less digits than its factorization.

105752010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38767.

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

The square root of 105752010 is about 10283.5796296815. The cubic root of 105752010 is about 472.8929907049.

The spelling of 105752010 in words is "one hundred five million, seven hundred fifty-two thousand, ten".