102200010 has 64 divisors (see below), whose sum is σ = 272018304. Its totient is φ = 24364800.

The previous prime is 102199997. The next prime is 102200011. The reversal of 102200010 is 10002201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (102200011) 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, 17592 + ... + 22668.

It is an arithmetic number, because the mean of its divisors is an integer number (4250286).

Almost surely, 2^102200010 is an apocalyptic number.

102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136009152).

102200010 is an abundant number, since it is smaller than the sum of its proper divisors (169818294).

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

102200010 is a wasteful number, since it uses less digits than its factorization.

102200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102200010 is about 10109.4020594692. The cubic root of 102200010 is about 467.5380696690.

Adding to 102200010 its reverse (10002201), we get a palindrome (112202211).

The spelling of 102200010 in words is "one hundred two million, two hundred thousand, ten".