100263730100 has 18 divisors (see below), whose sum is σ = 217572294534. Its totient is φ = 40105492000.

The previous prime is 100263730097. The next prime is 100263730103. The reversal of 100263730100 is 1037362001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100263730097) and next prime (100263730103).

It can be written as a sum of positive squares in 3 ways, for example, as 5403426064 + 94860304036 = 73508^2 + 307994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100263730103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501318551 + ... + 501318750.

Almost surely, 2^100263730100 is an apocalyptic number.

100263730100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100263730100 is an abundant number, since it is smaller than the sum of its proper divisors (117308564434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100263730100 is a wasteful number, since it uses less digits than its factorization.

100263730100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002637315 (or 1002637308 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 100263730100 in words is "one hundred billion, two hundred sixty-three million, seven hundred thirty thousand, one hundred".