1010104560 has 80 divisors (see below), whose sum is σ = 3479256480. Its totient is φ = 269360640.

The previous prime is 1010104549. The next prime is 1010104583. The reversal of 1010104560 is 654010101.

1010104560 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 104 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1010104560² = 2040622444265587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 231661 + ... + 235980.

It is an arithmetic number, because the mean of its divisors is an integer number (43490706).

Almost surely, 2^1010104560 is an apocalyptic number.

1010104560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010104560 is an abundant number, since it is smaller than the sum of its proper divisors (2469151920).

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

1010104560 is a wasteful number, since it uses less digits than its factorization.

1010104560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467663 (or 467651 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1010104560 is about 31782.1421556194. The cubic root of 1010104560 is about 1003.3569052444.

Adding to 1010104560 its reverse (654010101), we get a palindrome (1664114661).

It can be divided in two parts, 101010 and 4560, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 1010104560 in words is "one billion, ten million, one hundred four thousand, five hundred sixty".