102976096608 has 768 divisors, whose sum is σ = 394813440000. Its totient is φ = 25858828800.

The previous prime is 102976096603. The next prime is 102976096627. The reversal of 102976096608 is 806690679201.

102976096608 is a `hidden beast` number, since 1 + 0 + 29 + 7 + 6 + 0 + 9 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102976096603) 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, 101055523 + ... + 101056541.

It is an arithmetic number, because the mean of its divisors is an integer number (514080000).

Almost surely, 2^102976096608 is an apocalyptic number.

102976096608 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 102976096608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720000).

102976096608 is an abundant number, since it is smaller than the sum of its proper divisors (291837343392).

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

102976096608 is a wasteful number, since it uses less digits than its factorization.

102976096608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 102976096608 in words is "one hundred two billion, nine hundred seventy-six million, ninety-six thousand, six hundred eight".