103399978542084 has 693 divisors, whose sum is σ = 321936514895541. Its totient is φ = 29058541979040.

The previous prime is 103399978542073. The next prime is 103399978542097. The reversal of 103399978542084 is 480245879993301.

The square root of 103399978542084 is 10168578.

It is a perfect power (a square), and thus also a powerful number.

103399978542084 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 9 + 9 + 78 + 542 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3362375007684 + 100037603534400 = 1833678^2 + 10001880^2 .

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 230 ways as a sum of consecutive naturals, for example, 1695081615414 + ... + 1695081615474.

Almost surely, 2^{103399978542084} is an apocalyptic number.

103399978542084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103399978542084 is the 10168578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103399978542084

103399978542084 is an abundant number, since it is smaller than the sum of its proper divisors (218536536353457).

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

103399978542084 is an frugal number, since it uses more digits than its factorization.

103399978542084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 103399978542084 in words is "one hundred three trillion, three hundred ninety-nine billion, nine hundred seventy-eight million, five hundred forty-two thousand, eighty-four".