1107621534096 has 1215 divisors, whose sum is σ = 4274142001857. Its totient is φ = 266729379840.

The previous prime is 1107621534091. The next prime is 1107621534133. The reversal of 1107621534096 is 6904351267011.

The square root of 1107621534096 is 1052436.

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

1107621534096 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 6 + 21 + 534 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 862335104400 + 245286429696 = 928620^2 + 495264^2 .

It is not an unprimeable number, because it can be changed into a prime (1107621534091) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 16531664655 + ... + 16531664721.

Almost surely, 2^{1107621534096} is an apocalyptic number.

1107621534096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1107621534096 is the 1052436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107621534096

1107621534096 is an abundant number, since it is smaller than the sum of its proper divisors (3166520467761).

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

1107621534096 is a wasteful number, since it uses less digits than its factorization.

1107621534096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1107621534096 in words is "one trillion, one hundred seven billion, six hundred twenty-one million, five hundred thirty-four thousand, ninety-six".