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105444143420 = 2257115310112791
BaseRepresentation
bin110001000110011110…
…1011111000100111100
3101002011120202111001012
41202030331133010330
53211422200042140
6120235041534352
710422001300520
oct1421475370474
9332146674035
10105444143420
114079a519690
12185290443b8
139c35697395
1451640d7d80
152b22174265
hex188cf5f13c

105444143420 has 192 divisors, whose sum is σ = 284088010752. Its totient is φ = 31923840000.

The previous prime is 105444143417. The next prime is 105444143429. The reversal of 105444143420 is 24341444501.

It is a super-2 number, since 2×1054441434202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444143429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8237225 + ... + 8250015.

It is an arithmetic number, because the mean of its divisors is an integer number (1479625056).

Almost surely, 2105444143420 is an apocalyptic number.

105444143420 is a gapful number since it is divisible by the number (10) 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 105444143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142044005376).

105444143420 is an abundant number, since it is smaller than the sum of its proper divisors (178643867332).

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

105444143420 is a wasteful number, since it uses less digits than its factorization.

105444143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12970 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 105444143420 its reverse (24341444501), we get a palindrome (129785587921).

The spelling of 105444143420 in words is "one hundred five billion, four hundred forty-four million, one hundred forty-three thousand, four hundred twenty".