100359963 has 24 divisors (see below), whose sum is σ = 159724656. Its totient is φ = 60216000.

The previous prime is 100359953. The next prime is 100359967. The reversal of 100359963 is 369953001.

100359963 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 599 + 63 = 666.

It is not a de Polignac number, because 100359963 - 2¹² = 100355867 is a prime.

It is a super-2 number, since 2×100359963² = 20144244346722738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100359967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4981 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (6655194).

Almost surely, 2^100359963 is an apocalyptic number.

100359963 is a deficient number, since it is larger than the sum of its proper divisors (59364693).

100359963 is a wasteful number, since it uses less digits than its factorization.

100359963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 100359963 is about 10017.9819824154. The cubic root of 100359963 is about 464.7151498568.

It can be divided in two parts, 100 and 359963, that added together give a palindrome (360063).

The spelling of 100359963 in words is "one hundred million, three hundred fifty-nine thousand, nine hundred sixty-three".