106153142580368 has 40 divisors (see below), whose sum is σ = 221587311254400. Its totient is φ = 48972811434624.

The previous prime is 106153142580341. The next prime is 106153142580377. The reversal of 106153142580368 is 863085241351601.

It is a happy number.

It is a super-2 number, since 2×106153142580368² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108609608 + ... + 109582631.

It is an arithmetic number, because the mean of its divisors is an integer number (5539682781360).

Almost surely, 2^{106153142580368} is an apocalyptic number.

It is an amenable number.

106153142580368 is an abundant number, since it is smaller than the sum of its proper divisors (115434168674032).

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

106153142580368 is a wasteful number, since it uses less digits than its factorization.

106153142580368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218194599 (or 218194593 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 106153142580368 in words is "one hundred six trillion, one hundred fifty-three billion, one hundred forty-two million, five hundred eighty thousand, three hundred sixty-eight".