102612620 has 48 divisors (see below), whose sum is σ = 240565248. Its totient is φ = 36442560.

The previous prime is 102612613. The next prime is 102612659. The reversal of 102612620 is 26216201.

It is a happy number.

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 = 102612592 and 102612601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4037 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (5011776).

Almost surely, 2^102612620 is an apocalyptic number.

102612620 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 102612620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120282624).

102612620 is an abundant number, since it is smaller than the sum of its proper divisors (137952628).

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

102612620 is a wasteful number, since it uses less digits than its factorization.

102612620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102612620 is about 10129.7887440953. The cubic root of 102612620 is about 468.1664187659.

Adding to 102612620 its reverse (26216201), we get a palindrome (128828821).

The spelling of 102612620 in words is "one hundred two million, six hundred twelve thousand, six hundred twenty".