105032153040234 has 32 divisors (see below), whose sum is σ = 245656597148160. Its totient is φ = 29311298522352.

The previous prime is 105032153040233. The next prime is 105032153040349. The reversal of 105032153040234 is 432040351230501.

It is a super-2 number, since 2×105032153040234² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032153040195 and 105032153040204.

It is not an unprimeable number, because it can be changed into a prime (105032153040233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29078667364 + ... + 29078670975.

It is an arithmetic number, because the mean of its divisors is an integer number (7676768660880).

Almost surely, 2^{105032153040234} is an apocalyptic number.

105032153040234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105032153040234 is an abundant number, since it is smaller than the sum of its proper divisors (140624444107926).

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

105032153040234 is a wasteful number, since it uses less digits than its factorization.

105032153040234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58157338394.

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 105032153040234 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, forty thousand, two hundred thirty-four".