10505601000 has 96 divisors (see below), whose sum is σ = 35508961800. Its totient is φ = 2801491200.

The previous prime is 10505600999. The next prime is 10505601019. The reversal of 10505601000 is 10650501.

10505601000 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 560 + 100 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6086808324 + 4418792676 = 78018^2 + 66474^2 .

It is a super-2 number, since 2×10505601000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574645 + ... + 592644.

Almost surely, 2^10505601000 is an apocalyptic number.

10505601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505601000 is an abundant number, since it is smaller than the sum of its proper divisors (25003360800).

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

10505601000 is a wasteful number, since it uses less digits than its factorization.

10505601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167316 (or 1167299 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10505601000 in words is "ten billion, five hundred five million, six hundred one thousand".