106292584710131 has 2 divisors, whose sum is σ = 106292584710132. Its totient is φ = 106292584710130.

The previous prime is 106292584710101. The next prime is 106292584710173. The reversal of 106292584710131 is 131017485292601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106292584710131 - 2²⁶ = 106292517601267 is a prime.

It is a super-2 number, since 2×106292584710131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106292584710131.

It is not a weakly prime, because it can be changed into another prime (106292584710101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53146292355065 + 53146292355066.

It is an arithmetic number, because the mean of its divisors is an integer number (53146292355066).

It is a 1-persistent number, because it is pandigital, but 2⋅106292584710131 = 212585169420262 is not.

Almost surely, 2^{106292584710131} is an apocalyptic number.

106292584710131 is a deficient number, since it is larger than the sum of its proper divisors (1).

106292584710131 is an equidigital number, since it uses as much as digits as its factorization.

106292584710131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 106292584710131 in words is "one hundred six trillion, two hundred ninety-two billion, five hundred eighty-four million, seven hundred ten thousand, one hundred thirty-one".