100361107 has 16 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 77999040.

The previous prime is 100361101. The next prime is 100361113. The reversal of 100361107 is 701163001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100361101) and next prime (100361113).

It is a de Polignac number, because none of the positive numbers 2^k-100361107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100361101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32319 + ... + 35287.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2^100361107 is an apocalyptic number.

100361107 is a deficient number, since it is larger than the sum of its proper divisors (25091693).

100361107 is a wasteful number, since it uses less digits than its factorization.

100361107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100361107 is about 10018.0390795804. The cubic root of 100361107 is about 464.7169156078.

The spelling of 100361107 in words is "one hundred million, three hundred sixty-one thousand, one hundred seven".