100772848117153 has 16 divisors (see below), whose sum is σ = 103393869661440. Its totient is φ = 98182363555584.

The previous prime is 100772848117033. The next prime is 100772848117169. The reversal of 100772848117153 is 351711848277001.

It is a cyclic number.

It is not a de Polignac number, because 100772848117153 - 2⁴⁵ = 65588476028321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100772848117094 and 100772848117103.

It is not an unprimeable number, because it can be changed into a prime (100772848117853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114855400 + ... + 115729462.

It is an arithmetic number, because the mean of its divisors is an integer number (6462116853840).

Almost surely, 2^{100772848117153} is an apocalyptic number.

It is an amenable number.

100772848117153 is a deficient number, since it is larger than the sum of its proper divisors (2621021544287).

100772848117153 is a wasteful number, since it uses less digits than its factorization.

100772848117153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891528.

The product of its (nonzero) digits is 2634240, while the sum is 55.

The spelling of 100772848117153 in words is "one hundred trillion, seven hundred seventy-two billion, eight hundred forty-eight million, one hundred seventeen thousand, one hundred fifty-three".