106156053342 has 96 divisors (see below), whose sum is σ = 245424276864. Its totient is φ = 33046041600.

The previous prime is 106156053329. The next prime is 106156053343. The reversal of 106156053342 is 243350651601.

106156053342 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 605 + 3 + 3 + 42 = 666.

It is a super-2 number, since 2×106156053342² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106156053297 and 106156053306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106156053343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56736667 + ... + 56738537.

It is an arithmetic number, because the mean of its divisors is an integer number (2556502884).

Almost surely, 2^106156053342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106156053342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122712138432).

106156053342 is an abundant number, since it is smaller than the sum of its proper divisors (139268223522).

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

106156053342 is a wasteful number, since it uses less digits than its factorization.

106156053342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106156053342 in words is "one hundred six billion, one hundred fifty-six million, fifty-three thousand, three hundred forty-two".