1054101664 has 72 divisors (see below), whose sum is σ = 2607008544. Its totient is φ = 410678400.

The previous prime is 1054101647. The next prime is 1054101673. The reversal of 1054101664 is 4661014501.

It is a super-2 number, since 2×1054101664² = 2222260636095137792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7659 + ... + 46549.

It is an arithmetic number, because the mean of its divisors is an integer number (36208452).

Almost surely, 2^1054101664 is an apocalyptic number.

1054101664 is a gapful number since it is divisible by the number (14) 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 1054101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303504272).

1054101664 is an abundant number, since it is smaller than the sum of its proper divisors (1552906880).

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

1054101664 is a wasteful number, since it uses less digits than its factorization.

1054101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38930 (or 38911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1054101664 is about 32466.9318538109. The cubic root of 1054101664 is about 1017.7181027468.

The spelling of 1054101664 in words is "one billion, fifty-four million, one hundred one thousand, six hundred sixty-four".