102006647158248 has 192 divisors, whose sum is σ = 343944330192000. Its totient is φ = 27877592945664.

The previous prime is 102006647158231. The next prime is 102006647158303. The reversal of 102006647158248 is 842851746600201.

102006647158248 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 66 + 471 + 58 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102006647158194 and 102006647158203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209274313 + ... + 209761176.

It is an arithmetic number, because the mean of its divisors is an integer number (1791376719750).

Almost surely, 2^{102006647158248} is an apocalyptic number.

102006647158248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102006647158248 is an abundant number, since it is smaller than the sum of its proper divisors (241937683033752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102006647158248 is a wasteful number, since it uses less digits than its factorization.

102006647158248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419035541 (or 419035524 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 102006647158248 in words is "one hundred two trillion, six billion, six hundred forty-seven million, one hundred fifty-eight thousand, two hundred forty-eight".