100137963 has 8 divisors (see below), whose sum is σ = 134478400. Its totient is φ = 66278088.

The previous prime is 100137953. The next prime is 100137971. The reversal of 100137963 is 369731001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100137963 - 2¹⁴ = 100121579 is a prime.

It is a super-2 number, since 2×100137963² = 20055223267578738, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100137963.

It is not an unprimeable number, because it can be changed into a prime (100137913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119653 + ... + 120486.

It is an arithmetic number, because the mean of its divisors is an integer number (16809800).

Almost surely, 2^100137963 is an apocalyptic number.

100137963 is a deficient number, since it is larger than the sum of its proper divisors (34340437).

100137963 is a wasteful number, since it uses less digits than its factorization.

100137963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240281.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 100137963 is about 10006.8957724161. The cubic root of 100137963 is about 464.3722411132.

Adding to 100137963 its reverse (369731001), we get a palindrome (469868964).

The spelling of 100137963 in words is "one hundred million, one hundred thirty-seven thousand, nine hundred sixty-three".