106142150421351 has 24 divisors (see below), whose sum is σ = 167255541058320. Its totient is φ = 64328097772800.

The previous prime is 106142150421347. The next prime is 106142150421467. The reversal of 106142150421351 is 153124051241601.

106142150421351 is a `hidden beast` number, since 1 + 0 + 6 + 14 + 2 + 1 + 504 + 2 + 135 + 1 = 666.

It is not a de Polignac number, because 106142150421351 - 2² = 106142150421347 is a prime.

It is a super-3 number, since 3×106142150421351³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106142150421331) 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 23 ways as a sum of consecutive naturals, for example, 9632335 + ... + 17466143.

It is an arithmetic number, because the mean of its divisors is an integer number (6968980877430).

Almost surely, 2^{106142150421351} is an apocalyptic number.

106142150421351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106142150421351 is a deficient number, since it is larger than the sum of its proper divisors (61113390636969).

106142150421351 is a wasteful number, since it uses less digits than its factorization.

106142150421351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970687 (or 7970684 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 106142150421351 in words is "one hundred six trillion, one hundred forty-two billion, one hundred fifty million, four hundred twenty-one thousand, three hundred fifty-one".