102201840 has 240 divisors, whose sum is σ = 377788320. Its totient is φ = 24606720.

The previous prime is 102201797. The next prime is 102201871. The reversal of 102201840 is 48102201.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 570871 + ... + 571049.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2^102201840 is an apocalyptic number.

102201840 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 102201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

102201840 is an abundant number, since it is smaller than the sum of its proper divisors (275586480).

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

102201840 is a wasteful number, since it uses less digits than its factorization.

102201840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102201840 is about 10109.4925688681. The cubic root of 102201840 is about 467.5408602414.

It can be divided in two parts, 102201 and 840, that added together give a square (103041 = 321²).

The spelling of 102201840 in words is "one hundred two million, two hundred one thousand, eight hundred forty".