100053963 has 12 divisors (see below), whose sum is σ = 144615328. Its totient is φ = 66659760.

The previous prime is 100053937. The next prime is 100053971. The reversal of 100053963 is 369350001.

It is not a de Polignac number, because 100053963 - 2⁵ = 100053931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100053913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18153 + ... + 23013.

Almost surely, 2^100053963 is an apocalyptic number.

100053963 is a deficient number, since it is larger than the sum of its proper divisors (44561365).

100053963 is a wasteful number, since it uses less digits than its factorization.

100053963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 100053963 is about 10002.6977860975. The cubic root of 100053963 is about 464.2423597004.

The spelling of 100053963 in words is "one hundred million, fifty-three thousand, nine hundred sixty-three".