106292955743 has 8 divisors (see below), whose sum is σ = 115848486768. Its totient is φ = 96934446144.

The previous prime is 106292955737. The next prime is 106292955763. The reversal of 106292955743 is 347559292601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106292955743 - 2²⁰ = 106291907167 is a prime.

It is a super-2 number, since 2×106292955743² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106292955733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49254230 + ... + 49256387.

It is an arithmetic number, because the mean of its divisors is an integer number (14481060846).

Almost surely, 2^106292955743 is an apocalyptic number.

106292955743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106292955743 is a deficient number, since it is larger than the sum of its proper divisors (9555531025).

106292955743 is an equidigital number, since it uses as much as digits as its factorization.

106292955743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98510713.

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 106292955743 in words is "one hundred six billion, two hundred ninety-two million, nine hundred fifty-five thousand, seven hundred forty-three".