106105150650 has 144 divisors (see below), whose sum is σ = 280053789696. Its totient is φ = 26580449280.

The previous prime is 106105150643. The next prime is 106105150651. The reversal of 106105150650 is 56051501601.

It is a super-2 number, since 2×106105150650² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106105150651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26744967 + ... + 26748933.

It is an arithmetic number, because the mean of its divisors is an integer number (1944817984).

Almost surely, 2^106105150650 is an apocalyptic number.

106105150650 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 106105150650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026894848).

106105150650 is an abundant number, since it is smaller than the sum of its proper divisors (173948639046).

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

106105150650 is a wasteful number, since it uses less digits than its factorization.

106105150650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106105150650 in words is "one hundred six billion, one hundred five million, one hundred fifty thousand, six hundred fifty".