102105757 has 16 divisors (see below), whose sum is σ = 118041840. Its totient is φ = 87478272.

The previous prime is 102105737. The next prime is 102105767. The reversal of 102105757 is 757501201.

It can be written as a sum of positive squares in 8 ways, for example, as 1585081 + 100520676 = 1259^2 + 10026^2 .

It is a cyclic number.

It is not a de Polignac number, because 102105757 - 2⁷ = 102105629 is a prime.

It is a super-2 number, since 2×102105757² = 20851171225086098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12969 + ... + 19297.

It is an arithmetic number, because the mean of its divisors is an integer number (7377615).

Almost surely, 2^102105757 is an apocalyptic number.

102105757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102105757 is a deficient number, since it is larger than the sum of its proper divisors (15936083).

102105757 is a wasteful number, since it uses less digits than its factorization.

102105757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432.

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 102105757 is about 10104.7393335999. The cubic root of 102105757 is about 467.3942979304.

Adding to 102105757 its reverse (757501201), we get a palindrome (859606958).

The spelling of 102105757 in words is "one hundred two million, one hundred five thousand, seven hundred fifty-seven".