102977093856 has 288 divisors, whose sum is σ = 340746715008. Its totient is φ = 26989562880.

The previous prime is 102977093851. The next prime is 102977093881. The reversal of 102977093856 is 658390779201.

It is a junction number, because it is equal to n+sod(n) for n = 102977093796 and 102977093805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102977093851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9962611 + ... + 9972941.

It is an arithmetic number, because the mean of its divisors is an integer number (1183148316).

Almost surely, 2^102977093856 is an apocalyptic number.

102977093856 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 102977093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170373357504).

102977093856 is an abundant number, since it is smaller than the sum of its proper divisors (237769621152).

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

102977093856 is a wasteful number, since it uses less digits than its factorization.

102977093856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10534 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 102977093856 in words is "one hundred two billion, nine hundred seventy-seven million, ninety-three thousand, eight hundred fifty-six".