102991120 has 40 divisors (see below), whose sum is σ = 241227864. Its totient is φ = 40891392.

The previous prime is 102991103. The next prime is 102991121. The reversal of 102991120 is 21199201.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 102981904 = 96^2 + 10148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×102991120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102991121) 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, 6262 + ... + 15658.

Almost surely, 2^102991120 is an apocalyptic number.

102991120 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 102991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120613932).

102991120 is an abundant number, since it is smaller than the sum of its proper divisors (138236744).

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

102991120 is a wasteful number, since it uses less digits than its factorization.

102991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 102991120 is about 10148.4540694630. The cubic root of 102991120 is about 468.7413433661.

The spelling of 102991120 in words is "one hundred two million, nine hundred ninety-one thousand, one hundred twenty".