102786918493896 has 384 divisors, whose sum is σ = 345273702359040. Its totient is φ = 26899314624000.

The previous prime is 102786918493877. The next prime is 102786918493943. The reversal of 102786918493896 is 698394819687201.

102786918493896 is a `hidden beast` number, since 1 + 0 + 2 + 78 + 6 + 91 + 84 + 9 + 389 + 6 = 666.

It is a super-2 number, since 2×102786918493896² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901242651 + ... + 901356693.

It is an arithmetic number, because the mean of its divisors is an integer number (899150266560).

Almost surely, 2^{102786918493896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102786918493896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172636851179520).

102786918493896 is an abundant number, since it is smaller than the sum of its proper divisors (242486783865144).

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

102786918493896 is a wasteful number, since it uses less digits than its factorization.

102786918493896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115137 (or 115130 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 102786918493896 in words is "one hundred two trillion, seven hundred eighty-six billion, nine hundred eighteen million, four hundred ninety-three thousand, eight hundred ninety-six".