102728437131 has 16 divisors (see below), whose sum is σ = 152661456000. Its totient is φ = 61064581248.

The previous prime is 102728437127. The next prime is 102728437151. The reversal of 102728437131 is 131734827201.

It is not a de Polignac number, because 102728437131 - 2² = 102728437127 is a prime.

It is a super-2 number, since 2×102728437131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102728437131.

It is not an unprimeable number, because it can be changed into a prime (102728437121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53006481 + ... + 53008418.

It is an arithmetic number, because the mean of its divisors is an integer number (9541341000).

Almost surely, 2^102728437131 is an apocalyptic number.

102728437131 is a deficient number, since it is larger than the sum of its proper divisors (49933018869).

102728437131 is a wasteful number, since it uses less digits than its factorization.

102728437131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106014938.

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 102728437131 in words is "one hundred two billion, seven hundred twenty-eight million, four hundred thirty-seven thousand, one hundred thirty-one".