10100935464 has 64 divisors (see below), whose sum is σ = 26165073600. Its totient is φ = 3247435776.

The previous prime is 10100935463. The next prime is 10100935501. The reversal of 10100935464 is 46453900101.

It is not an unprimeable number, because it can be changed into a prime (10100935463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7752 + ... + 142344.

It is an arithmetic number, because the mean of its divisors is an integer number (408829275).

Almost surely, 2^10100935464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100935464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082536800).

10100935464 is an abundant number, since it is smaller than the sum of its proper divisors (16064138136).

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

10100935464 is a wasteful number, since it uses less digits than its factorization.

10100935464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134714 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 10100935464 in words is "ten billion, one hundred million, nine hundred thirty-five thousand, four hundred sixty-four".