10100946438 has 96 divisors (see below), whose sum is σ = 24797560320. Its totient is φ = 2944831680.

The previous prime is 10100946431. The next prime is 10100946439. The reversal of 10100946438 is 83464900101.

10100946438 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 9 + 4 + 643 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100946431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539856 + ... + 558252.

It is an arithmetic number, because the mean of its divisors is an integer number (258307920).

Almost surely, 2^10100946438 is an apocalyptic number.

10100946438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100946438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398780160).

10100946438 is an abundant number, since it is smaller than the sum of its proper divisors (14696613882).

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

10100946438 is a wasteful number, since it uses less digits than its factorization.

10100946438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18522 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10100946438 in words is "ten billion, one hundred million, nine hundred forty-six thousand, four hundred thirty-eight".