102042031 has 12 divisors (see below), whose sum is σ = 126281712. Its totient is φ = 80735616.

The previous prime is 102042019. The next prime is 102042037. The reversal of 102042031 is 130240201.

It is not a de Polignac number, because 102042031 - 2⁵ = 102041999 is a prime.

It is a super-2 number, since 2×102042031² = 20825152181209922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042037) 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 11 ways as a sum of consecutive naturals, for example, 41946 + ... + 44311.

It is an arithmetic number, because the mean of its divisors is an integer number (10523476).

Almost surely, 2^102042031 is an apocalyptic number.

102042031 is a deficient number, since it is larger than the sum of its proper divisors (24239681).

102042031 is an equidigital number, since it uses as much as digits as its factorization.

102042031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86290 (or 86277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102042031 is about 10101.5855686125. The cubic root of 102042031 is about 467.2970413586.

Adding to 102042031 its reverse (130240201), we get a palindrome (232282232).

It can be divided in two parts, 10 and 2042031, that added together give a square (2042041 = 1429²).

The spelling of 102042031 in words is "one hundred two million, forty-two thousand, thirty-one".