107016101028 has 36 divisors (see below), whose sum is σ = 272994701980. Its totient is φ = 35344766016.

The previous prime is 107016100999. The next prime is 107016101029. The reversal of 107016101028 is 820101610701.

107016101028 is a `hidden beast` number, since 10 + 7 + 0 + 1 + 610 + 10 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31345994304 + 75670106724 = 177048^2 + 275082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×107016101028² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107016100992 and 107016101010.

It is not an unprimeable number, because it can be changed into a prime (107016101029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13632175 + ... + 13640022.

Almost surely, 2^107016101028 is an apocalyptic number.

107016101028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107016101028 is an abundant number, since it is smaller than the sum of its proper divisors (165978600952).

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

107016101028 is a wasteful number, since it uses less digits than its factorization.

107016101028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27272316 (or 27272311 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 107016101028 its reverse (820101610701), we get a palindrome (927117711729).

The spelling of 107016101028 in words is "one hundred seven billion, sixteen million, one hundred one thousand, twenty-eight".