100736000 has 88 divisors (see below), whose sum is σ = 251633616. Its totient is φ = 40243200.

The previous prime is 100735991. The next prime is 100736003. The reversal of 100736000 is 637001.

It is a self number, because there is not a number n which added to its sum of digits gives 100736000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100736003) 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, 127607 + ... + 128393.

Almost surely, 2^100736000 is an apocalyptic number.

100736000 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 100736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125816808).

100736000 is an abundant number, since it is smaller than the sum of its proper divisors (150897616).

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

100736000 is an frugal number, since it uses more digits than its factorization.

100736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100736000 is about 10036.7325360398. The cubic root of 100736000 is about 465.2948374891.

The spelling of 100736000 in words is "one hundred million, seven hundred thirty-six thousand".