106368257142 has 72 divisors (see below), whose sum is σ = 268146511776. Its totient is φ = 30384686304.

The previous prime is 106368257119. The next prime is 106368257189. The reversal of 106368257142 is 241752863601.

106368257142 is a `hidden beast` number, since 1 + 0 + 6 + 36 + 8 + 2 + 571 + 42 = 666.

It is a super-2 number, since 2×106368257142² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5858883 + ... + 5877009.

It is an arithmetic number, because the mean of its divisors is an integer number (3724257108).

Almost surely, 2^106368257142 is an apocalyptic number.

106368257142 is an abundant number, since it is smaller than the sum of its proper divisors (161778254634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106368257142 is a wasteful number, since it uses less digits than its factorization.

106368257142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24802 (or 24792 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106368257142 in words is "one hundred six billion, three hundred sixty-eight million, two hundred fifty-seven thousand, one hundred forty-two".