102635120 has 80 divisors (see below), whose sum is σ = 288785088. Its totient is φ = 33116160.

The previous prime is 102635119. The next prime is 102635129. The reversal of 102635120 is 21536201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102635092 and 102635101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102635129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4130 + ... + 14910.

Almost surely, 2^102635120 is an apocalyptic number.

102635120 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 102635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144392544).

102635120 is an abundant number, since it is smaller than the sum of its proper divisors (186149968).

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

102635120 is a wasteful number, since it uses less digits than its factorization.

102635120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102635120 is about 10130.8992690679. The cubic root of 102635120 is about 468.2006347476.

The spelling of 102635120 in words is "one hundred two million, six hundred thirty-five thousand, one hundred twenty".