105200742 has 16 divisors (see below), whose sum is σ = 210671280. Its totient is φ = 35021952.

The previous prime is 105200741. The next prime is 105200749. The reversal of 105200742 is 247002501.

It is a super-2 number, since 2×105200742² = 22134392234701128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105200741) 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, 5983 + ... + 15690.

It is an arithmetic number, because the mean of its divisors is an integer number (13166955).

Almost surely, 2^105200742 is an apocalyptic number.

105200742 is an abundant number, since it is smaller than the sum of its proper divisors (105470538).

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

105200742 is a wasteful number, since it uses less digits than its factorization.

105200742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 105200742 is about 10256.7412953628. The cubic root of 105200742 is about 472.0698540442.

The spelling of 105200742 in words is "one hundred five million, two hundred thousand, seven hundred forty-two".