100863533622105 has 48 divisors (see below), whose sum is σ = 179095845211920. Its totient is φ = 52481378304000.

The previous prime is 100863533622091. The next prime is 100863533622107. The reversal of 100863533622105 is 501226335368001.

100863533622105 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 3 + 5 + 3 + 3 + 622 + 10 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 158080329 + 100863375541776 = 12573^2 + 10043076^2 .

It is not a de Polignac number, because 100863533622105 - 2⁵ = 100863533622073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100863533622107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344331705 + ... + 344624505.

It is an arithmetic number, because the mean of its divisors is an integer number (3731163441915).

Almost surely, 2^{100863533622105} is an apocalyptic number.

100863533622105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100863533622105 is a deficient number, since it is larger than the sum of its proper divisors (78232311589815).

100863533622105 is a wasteful number, since it uses less digits than its factorization.

100863533622105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479562 (or 479559 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 100863533622105 in words is "one hundred trillion, eight hundred sixty-three billion, five hundred thirty-three million, six hundred twenty-two thousand, one hundred five".