99945000 has 120 divisors (see below), whose sum is σ = 338399490. Its totient is φ = 26640000.

The previous prime is 99944981. The next prime is 99945019. The reversal of 99945000 is 54999.

It is an interprime number because it is at equal distance from previous prime (99944981) and next prime (99945019).

It can be written as a sum of positive squares in 5 ways, for example, as 3944196 + 96000804 = 1986^2 + 9798^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43890 + ... + 46110.

Almost surely, 2^99945000 is an apocalyptic number.

99945000 is a gapful number since it is divisible by the number (90) 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 99945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169199745).

99945000 is an abundant number, since it is smaller than the sum of its proper divisors (238454490).

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

99945000 is a wasteful number, since it uses less digits than its factorization.

99945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99945000 is about 9997.2496217710. The cubic root of 99945000 is about 464.0737719603.

Adding to 99945000 its reverse (54999), we get a palindrome (99999999).

The spelling of 99945000 in words is "ninety-nine million, nine hundred forty-five thousand".