105061752 has 32 divisors (see below), whose sum is σ = 291838800. Its totient is φ = 35020512.

The previous prime is 105061727. The next prime is 105061757. The reversal of 105061752 is 257160501.

It is a super-2 number, since 2×105061752² = 22075943466619008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061757) 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 7 ways as a sum of consecutive naturals, for example, 242983 + ... + 243414.

Almost surely, 2^105061752 is an apocalyptic number.

105061752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105061752 is an abundant number, since it is smaller than the sum of its proper divisors (186777048).

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

105061752 is a wasteful number, since it uses less digits than its factorization.

105061752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486412 (or 486402 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105061752 is about 10249.9635121302. The cubic root of 105061752 is about 471.8618646812.

The spelling of 105061752 in words is "one hundred five million, sixty-one thousand, seven hundred fifty-two".