107620821 has 48 divisors (see below), whose sum is σ = 195931008. Its totient is φ = 55296000.

The previous prime is 107620819. The next prime is 107620837. The reversal of 107620821 is 128026701.

107620821 is a `hidden beast` number, since 10 + 7 + 620 + 8 + 21 = 666.

It is not a de Polignac number, because 107620821 - 2¹ = 107620819 is a prime.

It is a super-2 number, since 2×107620821² = 23164482225428082, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107620811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66421 + ... + 68021.

It is an arithmetic number, because the mean of its divisors is an integer number (4081896).

Almost surely, 2^107620821 is an apocalyptic number.

107620821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107620821 is a deficient number, since it is larger than the sum of its proper divisors (88310187).

107620821 is a wasteful number, since it uses less digits than its factorization.

107620821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107620821 is about 10374.0455464587. The cubic root of 107620821 is about 475.6623387957.

The spelling of 107620821 in words is "one hundred seven million, six hundred twenty thousand, eight hundred twenty-one".