103640705280 has 1296 divisors, whose sum is σ = 446070328704. Its totient is φ = 22574039040.

The previous prime is 103640705269. The next prime is 103640705299. The reversal of 103640705280 is 82507046301.

103640705280 is a `hidden beast` number, since 1 + 0 + 3 + 64 + 0 + 70 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×103640705280³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2410248939 + ... + 2410248981.

Almost surely, 2^103640705280 is an apocalyptic number.

103640705280 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 103640705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223035164352).

103640705280 is an abundant number, since it is smaller than the sum of its proper divisors (342429623424).

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

103640705280 is an frugal number, since it uses more digits than its factorization.

103640705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 103640705280 in words is "one hundred three billion, six hundred forty million, seven hundred five thousand, two hundred eighty".