102911820 has 96 divisors (see below), whose sum is σ = 316141056. Its totient is φ = 24806400.

The previous prime is 102911803. The next prime is 102911827. The reversal of 102911820 is 28119201.

It is not an unprimeable number, because it can be changed into a prime (102911827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158737 + ... + 159383.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^102911820 is an apocalyptic number.

102911820 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 102911820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158070528).

102911820 is an abundant number, since it is smaller than the sum of its proper divisors (213229236).

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

102911820 is a wasteful number, since it uses less digits than its factorization.

102911820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 102911820 is about 10144.5463180962. The cubic root of 102911820 is about 468.6210069952.

The spelling of 102911820 in words is "one hundred two million, nine hundred eleven thousand, eight hundred twenty".