10105378384640 has 432 divisors, whose sum is σ = 31228891934016. Its totient is φ = 3064588369920.

The previous prime is 10105378384589. The next prime is 10105378384657. The reversal of 10105378384640 is 4648387350101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39987962 + ... + 40239878.

Almost surely, 2^{10105378384640} is an apocalyptic number.

10105378384640 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 10105378384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614445967008).

10105378384640 is an abundant number, since it is smaller than the sum of its proper divisors (21123513549376).

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

10105378384640 is a wasteful number, since it uses less digits than its factorization.

10105378384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252004 (or 251979 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 10105378384640 in words is "ten trillion, one hundred five billion, three hundred seventy-eight million, three hundred eighty-four thousand, six hundred forty".