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105141072380 = 22529181277711
BaseRepresentation
bin110000111101011100…
…1010111000111111100
3101001101110110212201212
41201322321113013330
53210312103304010
6120145014023552
710411331240501
oct1417271270774
9331343425655
10105141072380
1140654437953
1218463647bb8
139bb79627c6
145135b654a8
152b0575a505
hex187ae571fc

105141072380 has 24 divisors (see below), whose sum is σ = 228409917120. Its totient is φ = 40606207040.

The previous prime is 105141072347. The next prime is 105141072391. The reversal of 105141072380 is 83270141501.

It is a super-2 number, since 2×1051410723802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90638276 + ... + 90639435.

It is an arithmetic number, because the mean of its divisors is an integer number (9517079880).

Almost surely, 2105141072380 is an apocalyptic number.

105141072380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105141072380 is an abundant number, since it is smaller than the sum of its proper divisors (123268844740).

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

105141072380 is a wasteful number, since it uses less digits than its factorization.

105141072380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181277749 (or 181277747 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 105141072380 in words is "one hundred five billion, one hundred forty-one million, seventy-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 181277711 362555422 725110844 906388555 1812777110 3625554220 5257053619 10514107238 21028214476 26285268095 52570536190 105141072380