106042242525 has 24 divisors (see below), whose sum is σ = 176874720960. Its totient is φ = 56055363840.

The previous prime is 106042242499. The next prime is 106042242587. The reversal of 106042242525 is 525242240601.

It is not a de Polignac number, because 106042242525 - 2⁹ = 106042242013 is a prime.

It is a super-3 number, since 3×106042242525³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6247705 + ... + 6264654.

It is an arithmetic number, because the mean of its divisors is an integer number (7369780040).

Almost surely, 2^106042242525 is an apocalyptic number.

106042242525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106042242525 is a deficient number, since it is larger than the sum of its proper divisors (70832478435).

106042242525 is a wasteful number, since it uses less digits than its factorization.

106042242525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512485 (or 12512480 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 106042242525 in words is "one hundred six billion, forty-two million, two hundred forty-two thousand, five hundred twenty-five".