102980579040 has 768 divisors, whose sum is σ = 408213872640. Its totient is φ = 24103157760.

The previous prime is 102980579033. The next prime is 102980579059. The reversal of 102980579040 is 40975089201.

102980579040 is a `hidden beast` number, since 10 + 29 + 8 + 0 + 579 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69253177 + ... + 69254663.

It is an arithmetic number, because the mean of its divisors is an integer number (531528480).

Almost surely, 2^102980579040 is an apocalyptic number.

102980579040 is a gapful number since it is divisible by the number (10) 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 102980579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204106936320).

102980579040 is an abundant number, since it is smaller than the sum of its proper divisors (305233293600).

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

102980579040 is a wasteful number, since it uses less digits than its factorization.

102980579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102980579040 in words is "one hundred two billion, nine hundred eighty million, five hundred seventy-nine thousand, forty".