99771100 has 72 divisors (see below), whose sum is σ = 254389968. Its totient is φ = 33484800.

The previous prime is 99771097. The next prime is 99771103. The reversal of 99771100 is 117799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99771097) and next prime (99771103).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99771103) 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, 10812 + ... + 17788.

It is an arithmetic number, because the mean of its divisors is an integer number (3533194).

Almost surely, 2^99771100 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 99771100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127194984).

99771100 is an abundant number, since it is smaller than the sum of its proper divisors (154618868).

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

99771100 is a wasteful number, since it uses less digits than its factorization.

99771100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 34.

The square root of 99771100 is about 9988.5484430922. The cubic root of 99771100 is about 463.8044595702.

Adding to 99771100 its reverse (117799), we get a palindrome (99888899).

The spelling of 99771100 in words is "ninety-nine million, seven hundred seventy-one thousand, one hundred".