106314037128 has 96 divisors (see below), whose sum is σ = 310201109400. Its totient is φ = 32699510784.

The previous prime is 106314037117. The next prime is 106314037153. The reversal of 106314037128 is 821730413601.

It is a happy number.

106314037128 is a `hidden beast` number, since 1 + 0 + 631 + 4 + 0 + 3 + 7 + 12 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70563547044 + 35750490084 = 265638^2 + 189078^2 .

It is a super-2 number, since 2×106314037128² (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 a junction number, because it is equal to n+sod(n) for n = 106314037092 and 106314037101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597688 + ... + 2638296.

Almost surely, 2^106314037128 is an apocalyptic number.

106314037128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106314037128 is an abundant number, since it is smaller than the sum of its proper divisors (203887072272).

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

106314037128 is a wasteful number, since it uses less digits than its factorization.

106314037128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43431 (or 43424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106314037128 in words is "one hundred six billion, three hundred fourteen million, thirty-seven thousand, one hundred twenty-eight".