102031616 has 36 divisors (see below), whose sum is σ = 208653564. Its totient is φ = 49766400.

The previous prime is 102031613. The next prime is 102031649. The reversal of 102031616 is 616130201.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 98406400 = 1904^2 + 9920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5636 + ... + 15356.

Almost surely, 2^102031616 is an apocalyptic number.

102031616 is a gapful number since it is divisible by the number (16) 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 102031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104326782).

102031616 is an abundant number, since it is smaller than the sum of its proper divisors (106621948).

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

102031616 is an frugal number, since it uses more digits than its factorization.

102031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 102031616 is about 10101.0700423272. The cubic root of 102031616 is about 467.2811424712.

Adding to 102031616 its reverse (616130201), we get a palindrome (718161817).

The spelling of 102031616 in words is "one hundred two million, thirty-one thousand, six hundred sixteen".