102778951968 has 1296 divisors, whose sum is σ = 412752412800. Its totient is φ = 23952015360.

The previous prime is 102778951967. The next prime is 102778952057. The reversal of 102778951968 is 869159877201.

102778951968 is a `hidden beast` number, since 10 + 27 + 7 + 89 + 519 + 6 + 8 = 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 (102778951967) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1300999353 + ... + 1300999431.

It is an arithmetic number, because the mean of its divisors is an integer number (318481800).

Almost surely, 2^102778951968 is an apocalyptic number.

102778951968 is a gapful number since it is divisible by the number (18) 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 102778951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206376206400).

102778951968 is an abundant number, since it is smaller than the sum of its proper divisors (309973460832).

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

102778951968 is a wasteful number, since it uses less digits than its factorization.

102778951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 102778951968 in words is "one hundred two billion, seven hundred seventy-eight million, nine hundred fifty-one thousand, nine hundred sixty-eight".