82772153103 has 16 divisors (see below), whose sum is σ = 114898342496. Its totient is φ = 52954560000.

The previous prime is 82772153069. The next prime is 82772153137. The reversal of 82772153103 is 30135127728.

It is an interprime number because it is at equal distance from previous prime (82772153069) and next prime (82772153137).

It is not a de Polignac number, because 82772153103 - 2¹⁸ = 82771890959 is a prime.

It is the 287702-nd Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82772153143) by changing a digit.

It is a nontrivial repunit in base 287701.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099398 + ... + 5115603.

It is an arithmetic number, because the mean of its divisors is an integer number (7181146406).

Almost surely, 2^82772153103 is an apocalyptic number.

82772153103 is a deficient number, since it is larger than the sum of its proper divisors (32126189393).

82772153103 is a wasteful number, since it uses less digits than its factorization.

82772153103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215114.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 82772153103 in words is "eighty-two billion, seven hundred seventy-two million, one hundred fifty-three thousand, one hundred three".