99901520 has 120 divisors (see below), whose sum is σ = 256959000. Its totient is φ = 36069376.

The previous prime is 99901507. The next prime is 99901541. The reversal of 99901520 is 2510999.

It can be written as a sum of positive squares in 12 ways, for example, as 13337104 + 86564416 = 3652^2 + 9304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670406 + ... + 670554.

It is an arithmetic number, because the mean of its divisors is an integer number (2141325).

Almost surely, 2^99901520 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 99901520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128479500).

99901520 is an abundant number, since it is smaller than the sum of its proper divisors (157057480).

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

99901520 is a wasteful number, since it uses less digits than its factorization.

99901520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 99901520 is about 9995.0747871139. The cubic root of 99901520 is about 464.0064654272.

The spelling of 99901520 in words is "ninety-nine million, nine hundred one thousand, five hundred twenty".