105224031216150 has 192 divisors, whose sum is σ = 331485867403776. Its totient is φ = 21452191488000.

The previous prime is 105224031216113. The next prime is 105224031216179. The reversal of 105224031216150 is 51612130422501.

It is a super-2 number, since 2×105224031216150² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85334131 + ... + 86558430.

It is an arithmetic number, because the mean of its divisors is an integer number (1726488892728).

Almost surely, 2^{105224031216150} is an apocalyptic number.

105224031216150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105224031216150 is an abundant number, since it is smaller than the sum of its proper divisors (226261836187626).

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

105224031216150 is a wasteful number, since it uses less digits than its factorization.

105224031216150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171892647 (or 171892642 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 105224031216150 its reverse (51612130422501), we get a palindrome (156836161638651).

The spelling of 105224031216150 in words is "one hundred five trillion, two hundred twenty-four billion, thirty-one million, two hundred sixteen thousand, one hundred fifty".