106462150050 has 72 divisors (see below), whose sum is σ = 264811707216. Its totient is φ = 28305685280.

The previous prime is 106462150043. The next prime is 106462150061. The reversal of 106462150050 is 50051264601.

It is a super-2 number, since 2×106462150050² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19329397 + ... + 19334903.

It is an arithmetic number, because the mean of its divisors is an integer number (3677940378).

Almost surely, 2^106462150050 is an apocalyptic number.

106462150050 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 106462150050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132405853608).

106462150050 is an abundant number, since it is smaller than the sum of its proper divisors (158349557166).

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

106462150050 is an equidigital number, since it uses as much as digits as its factorization.

106462150050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 106462150050 in words is "one hundred six billion, four hundred sixty-two million, one hundred fifty thousand, fifty".