105142306608 has 100 divisors (see below), whose sum is σ = 306502162120. Its totient is φ = 34795236096.

The previous prime is 105142306601. The next prime is 105142306667. The reversal of 105142306608 is 806603241501.

It is a happy number.

105142306608 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 42 + 3 + 0 + 6 + 608 = 666.

It is a super-2 number, since 2×105142306608² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105142306601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111685 + ... + 471972.

Almost surely, 2^105142306608 is an apocalyptic number.

105142306608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105142306608 is an abundant number, since it is smaller than the sum of its proper divisors (201359855512).

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

105142306608 is a wasteful number, since it uses less digits than its factorization.

105142306608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583816 (or 583801 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105142306608 in words is "one hundred five billion, one hundred forty-two million, three hundred six thousand, six hundred eight".