105373734144 has 288 divisors, whose sum is σ = 326296965120. Its totient is φ = 29567655936.

The previous prime is 105373734127. The next prime is 105373734161. The reversal of 105373734144 is 441437373501.

It is an interprime number because it is at equal distance from previous prime (105373734127) and next prime (105373734161).

It is a super-2 number, since 2×105373734144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105373734096 and 105373734105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96407262 + ... + 96408354.

Almost surely, 2^105373734144 is an apocalyptic number.

105373734144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105373734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163148482560).

105373734144 is an abundant number, since it is smaller than the sum of its proper divisors (220923230976).

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

105373734144 is a wasteful number, since it uses less digits than its factorization.

105373734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 105373734144 in words is "one hundred five billion, three hundred seventy-three million, seven hundred thirty-four thousand, one hundred forty-four".