103990770576 has 405 divisors, whose sum is σ = 373188772593. Its totient is φ = 26933195520.

The previous prime is 103990770553. The next prime is 103990770593. The reversal of 103990770576 is 675077099301.

The square root of 103990770576 is 322476.

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

It can be written as a sum of positive squares in only one way, i.e., 76328428176 + 27662342400 = 276276^2 + 166320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 297967650 + ... + 297967998.

Almost surely, 2^103990770576 is an apocalyptic number.

103990770576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103990770576 is the 322476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103990770576

103990770576 is an abundant number, since it is smaller than the sum of its proper divisors (269198002017).

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

103990770576 is a wasteful number, since it uses less digits than its factorization.

103990770576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 103990770576 in words is "one hundred three billion, nine hundred ninety million, seven hundred seventy thousand, five hundred seventy-six".