106134401031150 has 96 divisors (see below), whose sum is σ = 264812783897088. Its totient is φ = 28130935968000.

The previous prime is 106134401031137. The next prime is 106134401031181. The reversal of 106134401031150 is 51130104431601.

106134401031150 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-2 number, since 2×106134401031150² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17870859 + ... + 23057241.

It is an arithmetic number, because the mean of its divisors is an integer number (2758466498928).

Almost surely, 2^{106134401031150} is an apocalyptic number.

106134401031150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106134401031150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132406391948544).

106134401031150 is an abundant number, since it is smaller than the sum of its proper divisors (158678382865938).

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

106134401031150 is a wasteful number, since it uses less digits than its factorization.

106134401031150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187226 (or 5187221 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 106134401031150 its reverse (51130104431601), we get a palindrome (157264505462751).

The spelling of 106134401031150 in words is "one hundred six trillion, one hundred thirty-four billion, four hundred one million, thirty-one thousand, one hundred fifty".