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105148299975 = 3521607872419
BaseRepresentation
bin110000111101101010…
…0111011101011000111
3101001101222002002010120
41201323110323223013
53210320431044400
6120145432553023
710411446542265
oct1417324735307
9331358062116
10105148299975
1140658524074
1218465b52773
139bb92c34a4
145136ac7435
152b061d6ca0
hex187b53bac7

105148299975 has 24 divisors (see below), whose sum is σ = 173953568640. Its totient is φ = 56044132320.

The previous prime is 105148299973. The next prime is 105148299979. The reversal of 105148299975 is 579992841501.

It is not a de Polignac number, because 105148299975 - 21 = 105148299973 is a prime.

It is a super-2 number, since 2×1051482999752 (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 (105148299973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315685 + ... + 556734.

It is an arithmetic number, because the mean of its divisors is an integer number (7248065360).

Almost surely, 2105148299975 is an apocalyptic number.

105148299975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105148299975 is a deficient number, since it is larger than the sum of its proper divisors (68805268665).

105148299975 is a wasteful number, since it uses less digits than its factorization.

105148299975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874039 (or 874034 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 60.

The spelling of 105148299975 in words is "one hundred five billion, one hundred forty-eight million, two hundred ninety-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 75 1607 4821 8035 24105 40175 120525 872419 2617257 4362095 13086285 21810475 65431425 1401977333 4205931999 7009886665 21029659995 35049433325 105148299975