1010105501664 has 96 divisors (see below), whose sum is σ = 3189806887680. Its totient is φ = 273412012032.

The previous prime is 1010105501651. The next prime is 1010105501701. The reversal of 1010105501664 is 4661055010101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1010105501664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39543369 + ... + 39568904.

It is an arithmetic number, because the mean of its divisors is an integer number (33227155080).

Almost surely, 2^{1010105501664} is an apocalyptic number.

1010105501664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010105501664 is an abundant number, since it is smaller than the sum of its proper divisors (2179701386016).

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

1010105501664 is a wasteful number, since it uses less digits than its factorization.

1010105501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79112312 (or 79112304 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 1010105501664 in words is "one trillion, ten billion, one hundred five million, five hundred one thousand, six hundred sixty-four".