100963507 has 2 divisors, whose sum is σ = 100963508. Its totient is φ = 100963506.

The previous prime is 100963483. The next prime is 100963547. The reversal of 100963507 is 705369001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100963507 is a prime.

It is equal to p_5813680 and since 100963507 and 5813680 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100963547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50481753 + 50481754.

It is an arithmetic number, because the mean of its divisors is an integer number (50481754).

Almost surely, 2^100963507 is an apocalyptic number.

100963507 is a deficient number, since it is larger than the sum of its proper divisors (1).

100963507 is an equidigital number, since it uses as much as digits as its factorization.

100963507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 100963507 is about 10048.0598624809. The cubic root of 100963507 is about 465.6448554931.

It can be divided in two parts, 1009 and 63507, that added together give a square (64516 = 254²).

The spelling of 100963507 in words is "one hundred million, nine hundred sixty-three thousand, five hundred seven".