102136320 has 480 divisors, whose sum is σ = 428972544. Its totient is φ = 22118400.

The previous prime is 102136283. The next prime is 102136361. The reversal of 102136320 is 23631201.

102136320 is a `hidden beast` number, since 10 + 21 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 102136293 and 102136302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294705 + ... + 3294735.

Almost surely, 2^102136320 is an apocalyptic number.

102136320 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 102136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

102136320 is an abundant number, since it is smaller than the sum of its proper divisors (326836224).

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

102136320 is a wasteful number, since it uses less digits than its factorization.

102136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102136320 is about 10106.2515306121. The cubic root of 102136320 is about 467.4409278407.

Adding to 102136320 its reverse (23631201), we get a palindrome (125767521).

The spelling of 102136320 in words is "one hundred two million, one hundred thirty-six thousand, three hundred twenty".