102819141825 has 48 divisors (see below), whose sum is σ = 174705353856. Its totient is φ = 53319168000.

The previous prime is 102819141823. The next prime is 102819141847. The reversal of 102819141825 is 528141918201.

It is a happy number.

It is not a de Polignac number, because 102819141825 - 2¹ = 102819141823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102819141823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4431204 + ... + 4454346.

It is an arithmetic number, because the mean of its divisors is an integer number (3639694872).

Almost surely, 2^102819141825 is an apocalyptic number.

102819141825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102819141825 is a deficient number, since it is larger than the sum of its proper divisors (71886212031).

102819141825 is a wasteful number, since it uses less digits than its factorization.

102819141825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 102819141825 in words is "one hundred two billion, eight hundred nineteen million, one hundred forty-one thousand, eight hundred twenty-five".