102107520 has 256 divisors, whose sum is σ = 381888000. Its totient is φ = 25712640.

The previous prime is 102107519. The next prime is 102107543. The reversal of 102107520 is 25701201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102107493 and 102107502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328165 + ... + 328475.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^102107520 is an apocalyptic number.

102107520 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 102107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

102107520 is an abundant number, since it is smaller than the sum of its proper divisors (279780480).

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

102107520 is a wasteful number, since it uses less digits than its factorization.

102107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 102107520 is about 10104.8265695162. The cubic root of 102107520 is about 467.3969879890.

Adding to 102107520 its reverse (25701201), we get a palindrome (127808721).

The spelling of 102107520 in words is "one hundred two million, one hundred seven thousand, five hundred twenty".