102999827516040 has 320 divisors, whose sum is σ = 426084757781760. Its totient is φ = 21731831677440.

The previous prime is 102999827516017. The next prime is 102999827516087. The reversal of 102999827516040 is 40615728999201.

102999827516040 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 98 + 27 + 516 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174375876 + ... + 174965555.

It is an arithmetic number, because the mean of its divisors is an integer number (1331514868068).

Almost surely, 2^{102999827516040} is an apocalyptic number.

102999827516040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102999827516040 is an abundant number, since it is smaller than the sum of its proper divisors (323084930265720).

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

102999827516040 is a wasteful number, since it uses less digits than its factorization.

102999827516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349341474 (or 349341461 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 102999827516040 in words is "one hundred two trillion, nine hundred ninety-nine billion, eight hundred twenty-seven million, five hundred sixteen thousand, forty".