100513609500 has 192 divisors, whose sum is σ = 307266785280. Its totient is φ = 25498656000.

The previous prime is 100513609499. The next prime is 100513609501. The reversal of 100513609500 is 5906315001.

It is an interprime number because it is at equal distance from previous prime (100513609499) and next prime (100513609501).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100513609501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2725182 + ... + 2761818.

It is an arithmetic number, because the mean of its divisors is an integer number (1600347840).

Almost surely, 2^100513609500 is an apocalyptic number.

100513609500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100513609500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633392640).

100513609500 is an abundant number, since it is smaller than the sum of its proper divisors (206753175780).

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

100513609500 is a wasteful number, since it uses less digits than its factorization.

100513609500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36749 (or 36737 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 100513609500 in words is "one hundred billion, five hundred thirteen million, six hundred nine thousand, five hundred".