1010106964 has 24 divisors (see below), whose sum is σ = 1789089120. Its totient is φ = 498964896.

The previous prime is 1010106961. The next prime is 1010106973. The reversal of 1010106964 is 4696010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010106961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163459 + ... + 169525.

It is an arithmetic number, because the mean of its divisors is an integer number (74545380).

Almost surely, 2^1010106964 is an apocalyptic number.

It is an amenable number.

1010106964 is a deficient number, since it is larger than the sum of its proper divisors (778982156).

1010106964 is a wasteful number, since it uses less digits than its factorization.

1010106964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1010106964 is about 31782.1799755775. The cubic root of 1010106964 is about 1003.3577012241.

The spelling of 1010106964 in words is "one billion, ten million, one hundred six thousand, nine hundred sixty-four".