10145610652410 has 48 divisors (see below), whose sum is σ = 26378757483624. Its totient is φ = 2705478759936.

The previous prime is 10145610652409. The next prime is 10145610652427. The reversal of 10145610652410 is 1425601654101.

10145610652410 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 610 + 6 + 5 + 24 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6964706299329 + 3180904353081 = 2639073^2 + 1783509^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20031654 + ... + 20531886.

Almost surely, 2^{10145610652410} is an apocalyptic number.

10145610652410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145610652410 is an abundant number, since it is smaller than the sum of its proper divisors (16233146831214).

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

10145610652410 is a wasteful number, since it uses less digits than its factorization.

10145610652410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725599 (or 725596 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10145610652410 in words is "ten trillion, one hundred forty-five billion, six hundred ten million, six hundred fifty-two thousand, four hundred ten".