102826010331 has 64 divisors (see below), whose sum is σ = 176236508160. Its totient is φ = 58560468480.

The previous prime is 102826010303. The next prime is 102826010333. The reversal of 102826010331 is 133010628201.

It is a happy number.

102826010331 is a `hidden beast` number, since 1 + 0 + 28 + 2 + 601 + 0 + 3 + 31 = 666.

It is not a de Polignac number, because 102826010331 - 2¹⁵ = 102825977563 is a prime.

It is a super-2 number, since 2×102826010331² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102826010295 and 102826010304.

It is not an unprimeable number, because it can be changed into a prime (102826010333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3250965 + ... + 3282441.

It is an arithmetic number, because the mean of its divisors is an integer number (2753695440).

Almost surely, 2^102826010331 is an apocalyptic number.

102826010331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102826010331 is a deficient number, since it is larger than the sum of its proper divisors (73410497829).

102826010331 is a wasteful number, since it uses less digits than its factorization.

102826010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32161 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102826010331 its reverse (133010628201), we get a palindrome (235836638532).

The spelling of 102826010331 in words is "one hundred two billion, eight hundred twenty-six million, ten thousand, three hundred thirty-one".