107966397 has 32 divisors (see below), whose sum is σ = 185278464. Its totient is φ = 54273600.

The previous prime is 107966329. The next prime is 107966399. The reversal of 107966397 is 793669701.

It is not a de Polignac number, because 107966397 - 2¹⁰ = 107965373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107966399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (5789952).

Almost surely, 2^107966397 is an apocalyptic number.

It is an amenable number.

107966397 is a deficient number, since it is larger than the sum of its proper divisors (77312067).

107966397 is a wasteful number, since it uses less digits than its factorization.

107966397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15129.

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 107966397 is about 10390.6879945459. The cubic root of 107966397 is about 476.1709202472.

It can be divided in two parts, 1079 and 66397, that added together give a palindrome (67476).

The spelling of 107966397 in words is "one hundred seven million, nine hundred sixty-six thousand, three hundred ninety-seven".