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157116105 = 34523101167
BaseRepresentation
bin10010101110101…
…10011011001001
3101221122022210000
421113112123021
5310210203410
623331313213
73615315306
oct1127263311
9357568700
10157116105
1180762723
124474b809
1326720c13
1416c1c0ad
15dbd7dc0
hex95d66c9

157116105 has 80 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 78883200.

The previous prime is 157116083. The next prime is 157116119. The reversal of 157116105 is 501611751.

It is a happy number.

It is not a de Polignac number, because 157116105 - 211 = 157114057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 940732 + ... + 940898.

Almost surely, 2157116105 is an apocalyptic number.

157116105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157116105 is a deficient number, since it is larger than the sum of its proper divisors (141461559).

157116105 is a wasteful number, since it uses less digits than its factorization.

157116105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 157116105 is about 12534.5963237752. The cubic root of 157116105 is about 539.6020215779.

Adding to 157116105 its reverse (501611751), we get a palindrome (658727856).

The spelling of 157116105 in words is "one hundred fifty-seven million, one hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 81 101 115 135 167 207 303 345 405 501 505 621 835 909 1035 1503 1515 1863 2323 2505 2727 3105 3841 4509 4545 6969 7515 8181 9315 11523 11615 13527 13635 16867 19205 20907 22545 34569 34845 40905 50601 57615 62721 67635 84335 103707 104535 151803 172845 188163 253005 311121 313605 387941 455409 518535 759015 940815 1163823 1366227 1555605 1939705 2277045 3491469 5819115 6831135 10474407 17457345 31423221 52372035 157116105