100698963561 has 189 divisors, whose sum is σ = 186146603559. Its totient is φ = 54286448832.

The previous prime is 100698963551. The next prime is 100698963571. The reversal of 100698963561 is 165369896001.

The square root of 100698963561 is 317331.

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

100698963561 is a `hidden beast` number, since 10 + 0 + 6 + 9 + 8 + 9 + 63 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (100698963551) and next prime (100698963571).

It can be written as a sum of positive squares in only one way, i.e., 57161637225 + 43537326336 = 239085^2 + 208656^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 100698963561 - 2⁷ = 100698963433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100698963498 and 100698963507.

It is not an unprimeable number, because it can be changed into a prime (100698963551) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1379437821 + ... + 1379437893.

Almost surely, 2^100698963561 is an apocalyptic number.

100698963561 is the 317331-st square number.

100698963561 is the 158666-th centered octagonal number.

It is an amenable number.

100698963561 is a deficient number, since it is larger than the sum of its proper divisors (85447639998).

100698963561 is an frugal number, since it uses more digits than its factorization.

100698963561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 100698963561 in words is "one hundred billion, six hundred ninety-eight million, nine hundred sixty-three thousand, five hundred sixty-one".