106037307 has 12 divisors (see below), whose sum is σ = 153264384. Its totient is φ = 70645680.

The previous prime is 106037303. The next prime is 106037333. The reversal of 106037307 is 703730601.

It is not a de Polignac number, because 106037307 - 2² = 106037303 is a prime.

It is a super-2 number, since 2×106037307² = 22487820951624498, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106037303) 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, 16518 + ... + 22020.

It is an arithmetic number, because the mean of its divisors is an integer number (12772032).

Almost surely, 2^106037307 is an apocalyptic number.

106037307 is a deficient number, since it is larger than the sum of its proper divisors (47227077).

106037307 is a wasteful number, since it uses less digits than its factorization.

106037307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 106037307 is about 10297.4417696824. The cubic root of 106037307 is about 473.3178646116.

Adding to 106037307 its reverse (703730601), we get a palindrome (809767908).

The spelling of 106037307 in words is "one hundred six million, thirty-seven thousand, three hundred seven".