105632124150 has 96 divisors (see below), whose sum is σ = 312408718848. Its totient is φ = 23094720000.

The previous prime is 105632124113. The next prime is 105632124151. The reversal of 105632124150 is 51421236501.

It is a super-2 number, since 2×105632124150² (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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105632124151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162851 + ... + 2211150.

It is an arithmetic number, because the mean of its divisors is an integer number (3254257488).

Almost surely, 2^105632124150 is an apocalyptic number.

105632124150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105632124150 is an abundant number, since it is smaller than the sum of its proper divisors (206776594698).

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

105632124150 is a wasteful number, since it uses less digits than its factorization.

105632124150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374046 (or 4374041 counting only the distinct ones).

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

The spelling of 105632124150 in words is "one hundred five billion, six hundred thirty-two million, one hundred twenty-four thousand, one hundred fifty".