102620105280 has 1568 divisors, whose sum is σ = 474933507840. Its totient is φ = 20483850240.

The previous prime is 102620105233. The next prime is 102620105297. The reversal of 102620105280 is 82501026201.

It is a happy number.

102620105280 is a `hidden beast` number, since 1 + 0 + 2 + 620 + 10 + 5 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 520914142 + ... + 520914338.

Almost surely, 2^102620105280 is an apocalyptic number.

102620105280 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 102620105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237466753920).

102620105280 is an abundant number, since it is smaller than the sum of its proper divisors (372313402560).

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

102620105280 is a wasteful number, since it uses less digits than its factorization.

102620105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 102620105280 in words is "one hundred two billion, six hundred twenty million, one hundred five thousand, two hundred eighty".