1007106116 has 12 divisors (see below), whose sum is σ = 1762952940. Its totient is φ = 503405280.

The previous prime is 1007106101. The next prime is 1007106119. The reversal of 1007106116 is 6116017001.

It can be written as a sum of positive squares in 2 ways, for example, as 542703616 + 464402500 = 23296^2 + 21550^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007106091 and 1007106100.

It is not an unprimeable number, because it can be changed into a prime (1007106119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20831 + ... + 49478.

It is an arithmetic number, because the mean of its divisors is an integer number (146912745).

Almost surely, 2^1007106116 is an apocalyptic number.

It is an amenable number.

1007106116 is a deficient number, since it is larger than the sum of its proper divisors (755846824).

1007106116 is a wasteful number, since it uses less digits than its factorization.

1007106116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73894 (or 73892 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 1007106116 is about 31734.9352606871. The cubic root of 1007106116 is about 1002.3631166144.

The spelling of 1007106116 in words is "one billion, seven million, one hundred six thousand, one hundred sixteen".