99901836125 has 288 divisors, whose sum is σ = 172356837120. Its totient is φ = 56407104000.

The previous prime is 99901836121. The next prime is 99901836169. The reversal of 99901836125 is 52163810999.

It is a happy number.

It is not a de Polignac number, because 99901836125 - 2² = 99901836121 is a prime.

It is a super-2 number, since 2×99901836125² (a number of 23 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 99901836125 = 165³ + 4640³ = 1310³ + 4605³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99901836121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2700049607 + ... + 2700049643.

It is an arithmetic number, because the mean of its divisors is an integer number (598461240).

Almost surely, 2^99901836125 is an apocalyptic number.

99901836125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

99901836125 is a deficient number, since it is larger than the sum of its proper divisors (72455000995).

99901836125 is a wasteful number, since it uses less digits than its factorization.

99901836125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 53.

The spelling of 99901836125 in words is "ninety-nine billion, nine hundred one million, eight hundred thirty-six thousand, one hundred twenty-five".