102034886041 has 27 divisors (see below), whose sum is σ = 114034743039. Its totient is φ = 91228922400.

The previous prime is 102034886029. The next prime is 102034886099. The reversal of 102034886041 is 140688430201.

The square root of 102034886041 is 319429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 93251447641 + 8783438400 = 305371^2 + 93720^2 .

It is not a de Polignac number, because 102034886041 - 2⁹ = 102034885529 is a prime.

It is a super-2 number, since 2×102034886041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102034886141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249473845 + ... + 249474253.

Almost surely, 2^102034886041 is an apocalyptic number.

102034886041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102034886041 is the 319429-th square number.

102034886041 is the 159715-th centered octagonal number.

It is an amenable number.

102034886041 is a deficient number, since it is larger than the sum of its proper divisors (11999856998).

102034886041 is an frugal number, since it uses more digits than its factorization.

102034886041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 102034886041 in words is "one hundred two billion, thirty-four million, eight hundred eighty-six thousand, forty-one".