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105401154356 = 22292813233561
BaseRepresentation
bin110001000101001100…
…1011111101100110100
3101002001120212102010122
41202022121133230310
53211330143414411
6120230504311112
710420640013131
oct1421231375464
9332046772118
10105401154356
1140778227333
1218516772498
139c297c5174
14515c507588
152b1d4d19db
hex188a65fb34

105401154356 has 24 divisors (see below), whose sum is σ = 191491541640. Its totient is φ = 50702220800.

The previous prime is 105401154343. The next prime is 105401154359. The reversal of 105401154356 is 653451104501.

It can be written as a sum of positive squares in 4 ways, for example, as 43215757456 + 62185396900 = 207884^2 + 249370^2 .

It is a super-2 number, since 2×1054011543562 (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 (105401154359) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1584185 + ... + 1649376.

It is an arithmetic number, because the mean of its divisors is an integer number (7978814235).

Almost surely, 2105401154356 is an apocalyptic number.

It is an amenable number.

105401154356 is a deficient number, since it is larger than the sum of its proper divisors (86090387284).

105401154356 is a wasteful number, since it uses less digits than its factorization.

105401154356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233875 (or 3233873 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 105401154356 its reverse (653451104501), we get a palindrome (758852258857).

The spelling of 105401154356 in words is "one hundred five billion, four hundred one million, one hundred fifty-four thousand, three hundred fifty-six".

Divisors: 1 2 4 29 58 116 281 562 1124 8149 16298 32596 3233561 6467122 12934244 93773269 187546538 375093076 908630641 1817261282 3634522564 26350288589 52700577178 105401154356