10145624130 has 24 divisors (see below), whose sum is σ = 26378622972. Its totient is φ = 2705499744.

The previous prime is 10145624117. The next prime is 10145624131. The reversal of 10145624130 is 3142654101.

It is a happy number.

10145624130 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 624 + 1 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9612429849 + 533194281 = 98043^2 + 23091^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10145624094 and 10145624103.

It is not an unprimeable number, because it can be changed into a prime (10145624131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56364489 + ... + 56364668.

Almost surely, 2^10145624130 is an apocalyptic number.

10145624130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145624130 is an abundant number, since it is smaller than the sum of its proper divisors (16232998842).

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

10145624130 is a wasteful number, since it uses less digits than its factorization.

10145624130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112729170 (or 112729167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10145624130 in words is "ten billion, one hundred forty-five million, six hundred twenty-four thousand, one hundred thirty".