102111840 has 120 divisors (see below), whose sum is σ = 360415440. Its totient is φ = 27226368.

The previous prime is 102111827. The next prime is 102111851. The reversal of 102111840 is 48111201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9021 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (3003462).

Almost surely, 2^102111840 is an apocalyptic number.

102111840 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 102111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180207720).

102111840 is an abundant number, since it is smaller than the sum of its proper divisors (258303600).

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

102111840 is an equidigital number, since it uses as much as digits as its factorization.

102111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 102111840 is about 10105.0403264905. The cubic root of 102111840 is about 467.4035794934.

The spelling of 102111840 in words is "one hundred two million, one hundred eleven thousand, eight hundred forty".