102129660 has 120 divisors (see below), whose sum is σ = 334436256. Its totient is φ = 26040960.

The previous prime is 102129653. The next prime is 102129661. The reversal of 102129660 is 66921201.

102129660 = T₄₂₃ + T₄₂₄ + ... + T₈₈₂.

It is a super-5 number, since 5×102129660⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102129661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35890 + ... + 38630.

Almost surely, 2^102129660 is an apocalyptic number.

102129660 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 102129660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167218128).

102129660 is an abundant number, since it is smaller than the sum of its proper divisors (232306596).

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

102129660 is a wasteful number, since it uses less digits than its factorization.

102129660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102129660 is about 10105.9220262181. The cubic root of 102129660 is about 467.4307674843.

The spelling of 102129660 in words is "one hundred two million, one hundred twenty-nine thousand, six hundred sixty".