102129505 has 8 divisors (see below), whose sum is σ = 122614632. Its totient is φ = 81664128.

The previous prime is 102129497. The next prime is 102129529. The reversal of 102129505 is 505921201.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 72709729 = 5424^2 + 8527^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102129505 - 2³ = 102129497 is a prime.

It is a super-5 number, since 5×102129505⁵ (a number of 41 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102129505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11307 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (15326829).

Almost surely, 2^102129505 is an apocalyptic number.

It is an amenable number.

102129505 is a deficient number, since it is larger than the sum of its proper divisors (20485127).

102129505 is an equidigital number, since it uses as much as digits as its factorization.

102129505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 102129505 is about 10105.9143574444. The cubic root of 102129505 is about 467.4305310143.

The spelling of 102129505 in words is "one hundred two million, one hundred twenty-nine thousand, five hundred five".