102347829826704 has 640 divisors, whose sum is σ = 385733635276800. Its totient is φ = 25172287418880.

The previous prime is 102347829826657. The next prime is 102347829826709. The reversal of 102347829826704 is 407628928743201.

It is a happy number.

102347829826704 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 478 + 2 + 98 + 2 + 6 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102347829826709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1316450457 + ... + 1316528199.

It is an arithmetic number, because the mean of its divisors is an integer number (602708805120).

Almost surely, 2^{102347829826704} is an apocalyptic number.

102347829826704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102347829826704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192866817638400).

102347829826704 is an abundant number, since it is smaller than the sum of its proper divisors (283385805450096).

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

102347829826704 is a wasteful number, since it uses less digits than its factorization.

102347829826704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79880 (or 79868 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 102347829826704 in words is "one hundred two trillion, three hundred forty-seven billion, eight hundred twenty-nine million, eight hundred twenty-six thousand, seven hundred four".