10357085142 has 64 divisors (see below), whose sum is σ = 23163221760. Its totient is φ = 3430320192.

The previous prime is 10357085129. The next prime is 10357085147. The reversal of 10357085142 is 24158075301.

10357085142 is a `hidden beast` number, since 1 + 0 + 3 + 570 + 85 + 1 + 4 + 2 = 666.

10357085142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10357085142³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10357085097 and 10357085106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357085147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6983133 + ... + 6984615.

It is an arithmetic number, because the mean of its divisors is an integer number (361925340).

Almost surely, 2^10357085142 is an apocalyptic number.

10357085142 is an abundant number, since it is smaller than the sum of its proper divisors (12806136618).

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

10357085142 is a wasteful number, since it uses less digits than its factorization.

10357085142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10357085142 in words is "ten billion, three hundred fifty-seven million, eighty-five thousand, one hundred forty-two".