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105060542157 = 3323317374759
BaseRepresentation
bin110000111011000011…
…0001010011011001101
3101001011211221112001000
41201312012022123031
53210130444322112
6120133020010513
710406332605504
oct1416606123315
9331154845030
10105060542157
1140612a3434a
1218440690a39
139ba4077c9c
1451291a183b
152aed64e7dc
hex187618a6cd

105060542157 has 64 divisors (see below), whose sum is σ = 169950412800. Its totient is φ = 63945002880.

The previous prime is 105060542063. The next prime is 105060542201. The reversal of 105060542157 is 751245060501.

105060542157 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 60 + 542 + 1 + 57 = 666.

It is not a de Polignac number, because 105060542157 - 216 = 105060476621 is a prime.

It is a super-2 number, since 2×1050605421572 (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 (105060542857) 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, 1367944 + ... + 1442702.

It is an arithmetic number, because the mean of its divisors is an integer number (2655475200).

Almost surely, 2105060542157 is an apocalyptic number.

It is an amenable number.

105060542157 is a deficient number, since it is larger than the sum of its proper divisors (64889870643).

105060542157 is a wasteful number, since it uses less digits than its factorization.

105060542157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74895 (or 74889 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 105060542157 in words is "one hundred five billion, sixty million, five hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 23 27 31 69 73 93 207 219 279 621 657 713 837 1679 1971 2139 2263 5037 6417 6789 15111 19251 20367 45333 52049 61101 74759 156147 224277 468441 672831 1405323 1719457 2018493 2317529 5158371 5457407 6952587 15475113 16372221 20857761 46425339 49116663 53303167 62573283 125520361 147349989 159909501 169179617 376561083 479728503 507538851 1129683249 1439185509 1522616553 3389049747 3891131191 4567849659 11673393573 35020180719 105060542157