107002772 has 12 divisors (see below), whose sum is σ = 187787796. Its totient is φ = 53349120.

The previous prime is 107002757. The next prime is 107002787. The reversal of 107002772 is 277200701.

It is an interprime number because it is at equal distance from previous prime (107002757) and next prime (107002787).

It can be written as a sum of positive squares in 2 ways, for example, as 31764496 + 75238276 = 5636^2 + 8674^2 .

It is a super-2 number, since 2×107002772² = 22899186431367968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36479 + ... + 39302.

It is an arithmetic number, because the mean of its divisors is an integer number (15648983).

Almost surely, 2^107002772 is an apocalyptic number.

It is an amenable number.

107002772 is a deficient number, since it is larger than the sum of its proper divisors (80785024).

107002772 is a wasteful number, since it uses less digits than its factorization.

107002772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76138 (or 76136 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 107002772 is about 10344.2144215982. The cubic root of 107002772 is about 474.7500394922.

The spelling of 107002772 in words is "one hundred seven million, two thousand, seven hundred seventy-two".