102679497936 has 160 divisors (see below), whose sum is σ = 300199536000. Its totient is φ = 33596716032.

The previous prime is 102679497913. The next prime is 102679497953. The reversal of 102679497936 is 639794976201.

102679497936 is a `hidden beast` number, since 102 + 6 + 7 + 9 + 497 + 9 + 36 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334666 + ... + 5353878.

It is an arithmetic number, because the mean of its divisors is an integer number (1876247100).

Almost surely, 2^102679497936 is an apocalyptic number.

102679497936 is a gapful number since it is divisible by the number (16) 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 102679497936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150099768000).

102679497936 is an abundant number, since it is smaller than the sum of its proper divisors (197520038064).

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

102679497936 is a wasteful number, since it uses less digits than its factorization.

102679497936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19458 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 102679497936 in words is "one hundred two billion, six hundred seventy-nine million, four hundred ninety-seven thousand, nine hundred thirty-six".