153858404106 has 48 divisors (see below), whose sum is σ = 375396473088. Its totient is φ = 45119764800.

The previous prime is 153858404071. The next prime is 153858404129. The reversal of 153858404106 is 601404858351.

153858404106 is a `hidden beast` number, since 1 + 53 + 8 + 584 + 0 + 4 + 10 + 6 = 666.

153858404106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×153858404106³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 12527131 + ... + 12539406.

It is an arithmetic number, because the mean of its divisors is an integer number (7820759856).

Almost surely, 2^153858404106 is an apocalyptic number.

153858404106 is an abundant number, since it is smaller than the sum of its proper divisors (221538068982).

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

153858404106 is a wasteful number, since it uses less digits than its factorization.

153858404106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25066587 (or 25066584 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 153858404106 in words is "one hundred fifty-three billion, eight hundred fifty-eight million, four hundred four thousand, one hundred six".