100507036 has 72 divisors (see below), whose sum is σ = 218045520. Its totient is φ = 40303872.

The previous prime is 100507007. The next prime is 100507037. The reversal of 100507036 is 630705001.

It is a junction number, because it is equal to n+sod(n) for n = 100506998 and 100507016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100507037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510090 + ... + 510286.

It is an arithmetic number, because the mean of its divisors is an integer number (3028410).

Almost surely, 2^100507036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100507036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109022760).

100507036 is an abundant number, since it is smaller than the sum of its proper divisors (117538484).

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

100507036 is a wasteful number, since it uses less digits than its factorization.

100507036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 100507036 is about 10025.3197455243. The cubic root of 100507036 is about 464.9420454230.

The spelling of 100507036 in words is "one hundred million, five hundred seven thousand, thirty-six".