102132210 has 64 divisors (see below), whose sum is σ = 254513664. Its totient is φ = 26208000.

The previous prime is 102132193. The next prime is 102132211. The reversal of 102132210 is 12231201.

102132210 = T₁₁₀ + T₁₁₁ + ... + T₈₄₉.

It is not an unprimeable number, because it can be changed into a prime (102132211) 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, 111655 + ... + 112565.

It is an arithmetic number, because the mean of its divisors is an integer number (3976776).

Almost surely, 2^102132210 is an apocalyptic number.

102132210 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 102132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127256832).

102132210 is an abundant number, since it is smaller than the sum of its proper divisors (152381454).

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

102132210 is a wasteful number, since it uses less digits than its factorization.

102132210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102132210 is about 10106.0481890796. The cubic root of 102132210 is about 467.4346577630.

Adding to 102132210 its reverse (12231201), we get a palindrome (114363411).

The spelling of 102132210 in words is "one hundred two million, one hundred thirty-two thousand, two hundred ten".