103276400640 has 416 divisors, whose sum is σ = 379202672640. Its totient is φ = 23509204992.

The previous prime is 103276400639. The next prime is 103276400651. The reversal of 103276400640 is 46004672301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188804847 + ... + 188805393.

Almost surely, 2^103276400640 is an apocalyptic number.

103276400640 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 103276400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189601336320).

103276400640 is an abundant number, since it is smaller than the sum of its proper divisors (275926272000).

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

103276400640 is an equidigital number, since it uses as much as digits as its factorization.

103276400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 103276400640 in words is "one hundred three billion, two hundred seventy-six million, four hundred thousand, six hundred forty".